107136432 has 100 divisors (see below), whose sum is σ = 333989040. Its totient is φ = 32959872.

The previous prime is 107136413. The next prime is 107136433. The reversal of 107136432 is 234631701.

107136432 is a `hidden beast` number, since 1 + 0 + 7 + 13 + 643 + 2 = 666.

It is a super-2 number, since 2×107136432² = 22956430123381248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107136396 and 107136405.

It is not an unprimeable number, because it can be changed into a prime (107136433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13669 + ... + 20027.

Almost surely, 2^107136432 is an apocalyptic number.

107136432 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 107136432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166994520).

107136432 is an abundant number, since it is smaller than the sum of its proper divisors (226852608).

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

107136432 is a wasteful number, since it uses less digits than its factorization.

107136432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 107136432 is about 10350.6730215962. The cubic root of 107136432 is about 474.9476315304.

The spelling of 107136432 in words is "one hundred seven million, one hundred thirty-six thousand, four hundred thirty-two".