105951956 has 72 divisors (see below), whose sum is σ = 219864960. Its totient is φ = 44478720.

The previous prime is 105951949. The next prime is 105951977. The reversal of 105951956 is 659159501.

It is a super-2 number, since 2×105951956² = 22451633960451872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649931 + ... + 650093.

It is an arithmetic number, because the mean of its divisors is an integer number (3053680).

Almost surely, 2^105951956 is an apocalyptic number.

It is an amenable number.

105951956 is an abundant number, since it is smaller than the sum of its proper divisors (113913004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105951956 is a wasteful number, since it uses less digits than its factorization.

105951956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 41.

The square root of 105951956 is about 10293.2966536479. The cubic root of 105951956 is about 473.1908370019.

The spelling of 105951956 in words is "one hundred five million, nine hundred fifty-one thousand, nine hundred fifty-six".