Properties of the Number 105

One Hundred Five

Basics

Value: 104 → 105 → 106

Parity: odd

Prime: No

Previous Prime: 103

Next Prime: 107

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7

Divisors: 1, 3, 5, 7, 15, 21, 35, 105

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001

Octal: 151

Duodecimal: 89

Hexadecimal: 69

Square: 11025

Square Root: 10.246950765959598

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Coordination sequence for planar net 3.3.3.3.6 (also called the fsz net). A250120

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

Squarefree numbers: numbers that are not divisible by a square greater than 1. A5117

The odd numbers: a(n) = 2·n + 1. A5408

Completely multiplicative with a(prime(k)) = prime(k+1). A3961

Primorial base exp-function: digits in primorial base representation of n become the exponents of successive prime factors whose product a(n) is. A276086

Double factorial of odd numbers: a(n) = (2·n-1)!! = 1·3*5*...*(2·n-1). A1147

The Doudna sequence: write n-1 in binary; power of prime(k) in a(n) is # of 1's that are followed by k-1 0's. A5940

Number of partitions of n that do not contain 1 as a part. A2865

Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle. A1263

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