108900036880 has 160 divisors (see below), whose sum is σ = 263811686400. Its totient is φ = 41770561536.

The previous prime is 108900036859. The next prime is 108900036913. The reversal of 108900036880 is 88630009801.

It is a happy number.

108900036880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126187329 + ... + 126188191.

It is an arithmetic number, because the mean of its divisors is an integer number (1648823040).

Almost surely, 2^108900036880 is an apocalyptic number.

108900036880 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 108900036880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131905843200).

108900036880 is an abundant number, since it is smaller than the sum of its proper divisors (154911649520).

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

108900036880 is a wasteful number, since it uses less digits than its factorization.

108900036880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 108900036880 in words is "one hundred eight billion, nine hundred million, thirty-six thousand, eight hundred eighty".