106392888 has 48 divisors (see below), whose sum is σ = 329312880. Its totient is φ = 30397824.

The previous prime is 106392883. The next prime is 106392911. The reversal of 106392888 is 888293601.

106392888 is a `hidden beast` number, since 1 + 0 + 639 + 2 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×106392888² = 22638893233961088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106392883) 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, 105045 + ... + 106052.

It is an arithmetic number, because the mean of its divisors is an integer number (6860685).

Almost surely, 2^106392888 is an apocalyptic number.

106392888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106392888 is an abundant number, since it is smaller than the sum of its proper divisors (222919992).

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

106392888 is a wasteful number, since it uses less digits than its factorization.

106392888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211116 (or 211109 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 106392888 is about 10314.6928214077. The cubic root of 106392888 is about 473.8463423318.

The spelling of 106392888 in words is "one hundred six million, three hundred ninety-two thousand, eight hundred eighty-eight".