107388580 has 24 divisors (see below), whose sum is σ = 242863992. Its totient is φ = 39651072.

The previous prime is 107388569. The next prime is 107388581. The reversal of 107388580 is 85883701.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 107163904 = 474^2 + 10352^2 .

It is a super-2 number, since 2×107388580² = 23064614228832800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107388581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206257 + ... + 206776.

It is an arithmetic number, because the mean of its divisors is an integer number (10119333).

Almost surely, 2^107388580 is an apocalyptic number.

107388580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107388580 is an abundant number, since it is smaller than the sum of its proper divisors (135475412).

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

107388580 is a wasteful number, since it uses less digits than its factorization.

107388580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413055 (or 413053 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 107388580 is about 10362.8461341467. The cubic root of 107388580 is about 475.3199395787.

The spelling of 107388580 in words is "one hundred seven million, three hundred eighty-eight thousand, five hundred eighty".