109872360900 has 405 divisors, whose sum is σ = 371795102679. Its totient is φ = 28066227840.

The previous prime is 109872360881. The next prime is 109872360931. The reversal of 109872360900 is 9063278901.

The square root of 109872360900 is 331470.

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

109872360900 is a `hidden beast` number, since 10 + 9 + 8 + 7 + 23 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1510255044 + 108362105856 = 38862^2 + 329184^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 865136637 + ... + 865136763.

Almost surely, 2^109872360900 is an apocalyptic number.

109872360900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109872360900 is the 331470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109872360900

109872360900 is an abundant number, since it is smaller than the sum of its proper divisors (261922741779).

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

109872360900 is a wasteful number, since it uses less digits than its factorization.

109872360900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 166 counting only the distinct ones).

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

The spelling of 109872360900 in words is "one hundred nine billion, eight hundred seventy-two million, three hundred sixty thousand, nine hundred".