105955992 has 32 divisors (see below), whose sum is σ = 294322800. Its totient is φ = 35318592.

The previous prime is 105955987. The next prime is 105956021. The reversal of 105955992 is 299559501.

105955992 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 559 + 92 = 666.

It is a super-2 number, since 2×105955992² = 22453344481408128, 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 7 ways as a sum of consecutive naturals, for example, 245053 + ... + 245484.

Almost surely, 2^105955992 is an apocalyptic number.

105955992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105955992 is an abundant number, since it is smaller than the sum of its proper divisors (188366808).

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

105955992 is a wasteful number, since it uses less digits than its factorization.

105955992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490552 (or 490542 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 45.

The square root of 105955992 is about 10293.4927017024. The cubic root of 105955992 is about 473.1968453037.

The spelling of 105955992 in words is "one hundred five million, nine hundred fifty-five thousand, nine hundred ninety-two".