10108
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 21336
- Proper Divisor Sum (Aliquot Sum)
- 11228
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4104
- Möbius Function
- 0
- Radical
- 266
- Omega Function (Ω)
- 5
- 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
- 179
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions of n into parts of 4 kinds.at n=10A023003
- a(n) = 7*n^2.at n=38A033582
- Numbers n such that n and n-1 are differences between 2 positive cubes in at least one way.at n=12A038595
- Numbers ending with '8' that are the difference of two positive cubes.at n=36A038863
- (n+4)^3 - n^3.at n=26A038866
- Numbers having four 4's in base 6.at n=26A043388
- Numbers whose base-10 representation has exactly 5 runs.at n=7A043641
- House numbers (version 2): a(n) = (n+1)^3 + (n+1)*Sum_{i=0..n} i.at n=18A050509
- Triangle defined in A064641 read by rows.at n=49A064642
- a(n) = 28*n^2.at n=19A064763
- Number of positions that are exactly n moves from the starting position in the Hockey Puck puzzle.at n=15A079736
- Numbers k for which 16*k+1, 16*k+3 and 16*k+15 are primes.at n=40A123997
- Numbers k such that the sum of the decimal digits of k is a substring of k, of k^2 and of k^3.at n=40A162017
- Totally multiplicative sequence with a(p) = 9p+1 for prime p.at n=11A166667
- Sums of least knight's moves from (0,0) to points in the square lattice [-n,n]x[-n,n].at n=18A183047
- Number of 4-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero with no three beads in a row equal.at n=23A209345
- Numbers which may represent a date in "condensed European notation" DDMMYY.at n=8A213182
- Numbers which may represent a date in "condensed American notation" MMDDYY.at n=8A213184
- Numbers k such that k^3 + 3*k + 3^k is prime.at n=20A220701
- Total sum of parts of multiplicity 8 in all partitions of n.at n=38A222736