108972960 has 48 divisors (see below), whose sum is σ = 343266336. Its totient is φ = 29059328.

The previous prime is 108972959. The next prime is 108972971. The reversal of 108972960 is 69279801.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×108972960² = 23750212022323200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113034 + ... + 113993.

It is an arithmetic number, because the mean of its divisors is an integer number (7151382).

Almost surely, 2^108972960 is an apocalyptic number.

108972960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108972960 is an abundant number, since it is smaller than the sum of its proper divisors (234293376).

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

108972960 is a wasteful number, since it uses less digits than its factorization.

108972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227045 (or 227037 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 108972960 is about 10439.0114474504. The cubic root of 108972960 is about 477.6461144725.

The spelling of 108972960 in words is "one hundred eight million, nine hundred seventy-two thousand, nine hundred sixty".