108709032960 has 1056 divisors, whose sum is σ = 435427359360. Its totient is φ = 25692733440.

The previous prime is 108709032941. The next prime is 108709032961. The reversal of 108709032960 is 69230907801.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108709032961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1120711632 + ... + 1120711728.

Almost surely, 2^108709032960 is an apocalyptic number.

108709032960 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 108709032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217713679680).

108709032960 is an abundant number, since it is smaller than the sum of its proper divisors (326718326400).

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

108709032960 is a wasteful number, since it uses less digits than its factorization.

108709032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 108709032960 in words is "one hundred eight billion, seven hundred nine million, thirty-two thousand, nine hundred sixty".