108972612100 has 81 divisors (see below), whose sum is σ = 260008835583. Its totient is φ = 39613200000.

The previous prime is 108972612079. The next prime is 108972612187. The reversal of 108972612100 is 1216279801.

The square root of 108972612100 is 330110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1173336516 + 107799275584 = 34254^2 + 328328^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 108972612100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36310600 + ... + 36313600.

Almost surely, 2^108972612100 is an apocalyptic number.

108972612100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108972612100 is the 330110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108972612100

108972612100 is an abundant number, since it is smaller than the sum of its proper divisors (151036223483).

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

108972612100 is an equidigital number, since it uses as much as digits as its factorization.

108972612100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6038 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 108972612100 in words is "one hundred eight billion, nine hundred seventy-two million, six hundred twelve thousand, one hundred".