106162992 has 60 divisors (see below), whose sum is σ = 319969104. Its totient is φ = 32664960.

The previous prime is 106162967. The next prime is 106162993. The reversal of 106162992 is 299261601.

106162992 is a `hidden beast` number, since 10 + 616 + 29 + 9 + 2 = 666.

It is a super-2 number, since 2×106162992² = 22541161740784128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106162993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26484 + ... + 30227.

Almost surely, 2^106162992 is an apocalyptic number.

106162992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106162992 is an abundant number, since it is smaller than the sum of its proper divisors (213806112).

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

106162992 is a wasteful number, since it uses less digits than its factorization.

106162992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56738 (or 56729 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 106162992 is about 10303.5426917153. The cubic root of 106162992 is about 473.5047971453.

The spelling of 106162992 in words is "one hundred six million, one hundred sixty-two thousand, nine hundred ninety-two".