106396992 has 126 divisors (see below), whose sum is σ = 330533502. Its totient is φ = 32707584.

The previous prime is 106396987. The next prime is 106397003. The reversal of 106396992 is 299693601.

It is a happy number.

106396992 is a `hidden beast` number, since 1 + 0 + 639 + 6 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11451456 + 94945536 = 3384^2 + 9744^2 .

It is a super-2 number, since 2×106396992² = 22640639813296128, 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 17 ways as a sum of consecutive naturals, for example, 96798 + ... + 97890.

Almost surely, 2^106396992 is an apocalyptic number.

106396992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106396992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165266751).

106396992 is an abundant number, since it is smaller than the sum of its proper divisors (224136510).

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

106396992 is a wasteful number, since it uses less digits than its factorization.

106396992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 106396992 is about 10314.8917590055. The cubic root of 106396992 is about 473.8524349709.

The spelling of 106396992 in words is "one hundred six million, three hundred ninety-six thousand, nine hundred ninety-two".