105541 (number)
105,541 (one hundred five thousand five hundred fortyone) is an odd sixdigits prime number following 105540 and preceding 105542. In scientific notation, it is written as 1.05541 × 10^{5}. The sum of its digits is 16. It has a total of 1 prime factor and 2 positive divisors. There are 105,540 positive integers (up to 105541) that are relatively prime to 105541.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 16
 Digital Root 7
Name
Short name  105 thousand 541 

Full name  one hundred five thousand five hundred fortyone 
Notation
Scientific notation  1.05541 × 10^{5} 

Engineering notation  105.541 × 10^{3} 
Prime Factorization of 105541
Prime Factorization 105541
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  105541  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.566854781995  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 105,541 is 105541. Since it has a total of 1 prime factor, 105,541 is a prime number.
Divisors of 105541
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  105542  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  52771  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  324.87074352733  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.999981050198  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 105,541 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 105,541) is 105,542, the average is 52,771.
Other Arithmetic Functions (n = 105541)
φ(n)  Euler Totient  105540  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  105540  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 10042  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 105,540 positive integers (less than 105,541) that are coprime with 105,541. And there are approximately 10,042 prime numbers less than or equal to 105,541.
Divisibility of 105541
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  2  5  7 
105,541 is not divisible by any number less than or equal to 9.
Classification of 105541
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (105541)
Base  System  Value 

2  Binary  11001110001000101 
3  Ternary  12100202221 
4  Quaternary  121301011 
5  Quinary  11334131 
6  Senary  2132341 
8  Octal  316105 
10  Decimal  105541 
12  Duodecimal  510b1 
16  Hexadecimal  19c45 
20  Vigesimal  d3h1 
36  Base36  29fp 
Basic calculations (n = 105541)
Multiplication
n×yn×2  211082 

n×3  316623 
n×4  422164 
n×5  527705 
Division
n÷yn÷2  52770.500 

n÷3  35180.333 
n÷4  26385.250 
n÷5  21108.200 
Exponentiation
n^{y}n^{2}  11138902681 

n^{3}  1175610927855421 
n^{4}  124075152936788987761 
n^{5}  13095015716101646557283701 
Nth Root
^{y}√n^{2}√n  324.87074352733 

^{3}√n  47.257825565738 
^{4}√n  18.024171091269 
^{5}√n  10.108442405235 
105541 as geometric shapes
Circle
Radius = nDiameter  211082 

Circumference  663133.66050504 
Area  34993894831.681 
Sphere
Radius = nVolume  4.9243875392406E+15 

Surface area  139975579326.73 
Circumference  663133.66050504 
Square
Length = nPerimeter  422164 

Area  11138902681 
Diagonal  149257.51358642 
Cube
Length = nSurface area  66833416086 

Volume  1175610927855421 
Space diagonal  182802.37428163 
Equilateral Triangle
Length = nPerimeter  316623 

Area  4823286346.0143 
Altitude  91401.187140813 
Triangular Pyramid
Length = nSurface area  19293145384.057 

Volume  1.385470765206E+14 
Height  86173.865647693 
Cryptographic Hash Functions
md5  37e883d3f0343897e37e4601607199e7 

sha1  12c9680d74b281d47ed39ee6adab319696a5e251 
sha256  e3f691d5428d7943f61dd0ce4d7ffa8c1fc4244bb398df24b6204749158092b5 
sha512  7336e156830e12010b0f41b6080c6700490cfea1e081eab1f0662c1cb1c6dcc2786f68fa414e733f849cd73d58150cc55ec66f872cb5dca4a905f6390e9ccf16 
ripemd160  9eab85a7a78657d30999e76e4c20ce3a7c2d4c36 