105355992 has 32 divisors (see below), whose sum is σ = 301017600. Its totient is φ = 30101664.

The previous prime is 105355979. The next prime is 105356003. The reversal of 105355992 is 299553501.

It is a super-2 number, since 2×105355992² = 22199770100608128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105355992.

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, 313392 + ... + 313727.

It is an arithmetic number, because the mean of its divisors is an integer number (9406800).

Almost surely, 2^105355992 is an apocalyptic number.

105355992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105355992 is an abundant number, since it is smaller than the sum of its proper divisors (195661608).

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

105355992 is a wasteful number, since it uses less digits than its factorization.

105355992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627135 (or 627131 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 39.

The square root of 105355992 is about 10264.3066984575. The cubic root of 105355992 is about 472.3019589419.

The spelling of 105355992 in words is "one hundred five million, three hundred fifty-five thousand, nine hundred ninety-two".