107088960 has 112 divisors (see below), whose sum is σ = 370953792. Its totient is φ = 25958400.

The previous prime is 107088929. The next prime is 107088979. The reversal of 107088960 is 69880701.

It is a super-2 number, since 2×107088960² = 22936090707763200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5490 + ... + 15630.

Almost surely, 2^107088960 is an apocalyptic number.

107088960 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 107088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185476896).

107088960 is an abundant number, since it is smaller than the sum of its proper divisors (263864832).

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

107088960 is a wasteful number, since it uses less digits than its factorization.

107088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10172 (or 10162 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 107088960 is about 10348.3795832971. The cubic root of 107088960 is about 474.8774716277.

The spelling of 107088960 in words is "one hundred seven million, eighty-eight thousand, nine hundred sixty".