107432512 has 42 divisors (see below), whose sum is σ = 234345734. Its totient is φ = 48829440.

The previous prime is 107432491. The next prime is 107432527. The reversal of 107432512 is 215234701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 17106496 = 9504^2 + 4136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 808 + ... + 14680.

Almost surely, 2^107432512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117172867).

107432512 is an abundant number, since it is smaller than the sum of its proper divisors (126913222).

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

107432512 is a wasteful number, since it uses less digits than its factorization.

107432512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13907 (or 13886 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 107432512 is about 10364.9656053457. The cubic root of 107432512 is about 475.3847475521.

The spelling of 107432512 in words is "one hundred seven million, four hundred thirty-two thousand, five hundred twelve".