106956432 has 60 divisors (see below), whose sum is σ = 326546064. Its totient is φ = 32410560.

The previous prime is 106956419. The next prime is 106956449. The reversal of 106956432 is 234659601.

It is a happy number.

106956432 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 5 + 643 + 2 = 666.

It is a super-2 number, since 2×106956432² = 22879356692341248, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32178 + ... + 35345.

Almost surely, 2^106956432 is an apocalyptic number.

106956432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106956432 is an abundant number, since it is smaller than the sum of its proper divisors (219589632).

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

106956432 is a wasteful number, since it uses less digits than its factorization.

106956432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67548 (or 67539 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106956432 is about 10341.9742796045. The cubic root of 106956432 is about 474.6814958054.

The spelling of 106956432 in words is "one hundred six million, nine hundred fifty-six thousand, four hundred thirty-two".