107131392 has 120 divisors (see below), whose sum is σ = 314707536. Its totient is φ = 35076096.

The previous prime is 107131379. The next prime is 107131393. The reversal of 107131392 is 293131701.

It is a super-2 number, since 2×107131392² = 22954270303715328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107131393) 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, 308563 + ... + 308909.

Almost surely, 2^107131392 is an apocalyptic number.

107131392 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 107131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157353768).

107131392 is an abundant number, since it is smaller than the sum of its proper divisors (207576144).

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

107131392 is an equidigital number, since it uses as much as digits as its factorization.

107131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 107131392 is about 10350.4295563034. The cubic root of 107131392 is about 474.9401837881.

The spelling of 107131392 in words is "one hundred seven million, one hundred thirty-one thousand, three hundred ninety-two".