108721872900 has 243 divisors, whose sum is σ = 353872702911. Its totient is φ = 27918898560.

The previous prime is 108721872841. The next prime is 108721873033. The reversal of 108721872900 is 9278127801.

The square root of 108721872900 is 329730.

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 1494440964 + 107227431936 = 38658^2 + 327456^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 286864911 + ... + 286865289.

Almost surely, 2^108721872900 is an apocalyptic number.

108721872900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108721872900 is the 329730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108721872900

108721872900 is an abundant number, since it is smaller than the sum of its proper divisors (245150830011).

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

108721872900 is a wasteful number, since it uses less digits than its factorization.

108721872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 108721872900 in words is "one hundred eight billion, seven hundred twenty-one million, eight hundred seventy-two thousand, nine hundred".