108560960 has 112 divisors (see below), whose sum is σ = 272070576. Its totient is φ = 41213952.

The previous prime is 108560951. The next prime is 108560983. The reversal of 108560960 is 69065801.

It can be written as a sum of positive squares in 8 ways, for example, as 25969216 + 82591744 = 5096^2 + 9088^2 .

It is a super-2 number, since 2×108560960² = 23570964072243200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 108560960.

It is a congruent number.

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, 627434 + ... + 627606.

Almost surely, 2^108560960 is an apocalyptic number.

108560960 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 108560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136035288).

108560960 is an abundant number, since it is smaller than the sum of its proper divisors (163509616).

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

108560960 is a wasteful number, since it uses less digits than its factorization.

108560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 108560960 is about 10419.2590907415. The cubic root of 108560960 is about 477.0434000421.

The spelling of 108560960 in words is "one hundred eight million, five hundred sixty thousand, nine hundred sixty".