108840608100 has 243 divisors, whose sum is σ = 397106361561. Its totient is φ = 24862017600.

The previous prime is 108840608069. The next prime is 108840608113. The reversal of 108840608100 is 1806048801.

The square root of 108840608100 is 329910.

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

108840608100 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 40 + 608 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39182618916 + 69657989184 = 197946^2 + 263928^2 .

It is a super-2 number, since 2×108840608100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 69280315 + ... + 69281885.

Almost surely, 2^108840608100 is an apocalyptic number.

108840608100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108840608100 is the 329910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108840608100

108840608100 is an abundant number, since it is smaller than the sum of its proper divisors (288265753461).

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

108840608100 is a wasteful number, since it uses less digits than its factorization.

108840608100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Multiplying 108840608100 by its sum of digits (36), we get a square (3918261891600 = 1979460²).

108840608100 divided by its sum of digits (36) gives a square (3023350225 = 54985²).

The spelling of 108840608100 in words is "one hundred eight billion, eight hundred forty million, six hundred eight thousand, one hundred".