107431560 has 96 divisors (see below), whose sum is σ = 350452440. Its totient is φ = 28541952.

The previous prime is 107431549. The next prime is 107431589. The reversal of 107431560 is 65134701.

107431560 is a `hidden beast` number, since 1 + 0 + 74 + 31 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91126116 + 16305444 = 9546^2 + 4038^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164194 + ... + 164846.

Almost surely, 2^107431560 is an apocalyptic number.

107431560 is a gapful number since it is divisible by the number (10) 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 107431560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175226220).

107431560 is an abundant number, since it is smaller than the sum of its proper divisors (243020880).

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

107431560 is a wasteful number, since it uses less digits than its factorization.

107431560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 107431560 is about 10364.9196813096. The cubic root of 107431560 is about 475.3833433601.

The spelling of 107431560 in words is "one hundred seven million, four hundred thirty-one thousand, five hundred sixty".