10105
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12672
- Proper Divisor Sum (Aliquot Sum)
- 2567
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7728
- Möbius Function
- -1
- Radical
- 10105
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 135
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=29A020417
- a(n) = floor(exp(16/23) * n!).at n=6A030813
- Numbers k such that 83*2^k+1 is prime.at n=10A032391
- Base-7 palindromes that start with 4.at n=26A043018
- Numbers whose base-10 representation has exactly 5 runs.at n=4A043641
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), with a(1) = a(2) = 1 and a(3) = 4.at n=13A049944
- The Roman numerals, with "i" replaced by "1", "v" replaced by "5", "x" replaced by 10, etc.at n=24A093788
- a(n) = A108462(A025487(n)).at n=16A108463
- Roman numerals with "i" replaced by "1", "v" replaced by "5", "x" replaced by 10, etc., sorted in increasing order.at n=40A130228
- Numbers k such that k and k^2 use only the digits 0, 1, 2 and 5.at n=39A136822
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 7.at n=47A136824
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 8.at n=48A136825
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 9.at n=52A136826
- Expansion of 1/(x^k*(1-x-3*x^(k+1))) for k=8.at n=29A143459
- Number of lines through at least 2 points of a 10 X n grid of points.at n=21A160850
- Squares in lunar arithmetic in base 6 written in base 6.at n=41A171591
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {0,1}.at n=33A209991
- Number of (w,x,y,z) with all terms in {1,...,n} and w+x+y=|x-y|+|y-z|.at n=34A212678
- Numbers which may represent a date in "condensed European notation" DDMMYY.at n=5A213182
- Numbers which may represent a date in "condensed American notation" MMDDYY.at n=5A213184