108097953600 has 672 divisors, whose sum is σ = 443758986496. Its totient is φ = 22428057600.

The previous prime is 108097953577. The next prime is 108097953611. The reversal of 108097953600 is 6359790801.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 108097953600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26642772 + ... + 26646828.

Almost surely, 2^108097953600 is an apocalyptic number.

108097953600 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 108097953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221879493248).

108097953600 is an abundant number, since it is smaller than the sum of its proper divisors (335661032896).

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

108097953600 is a wasteful number, since it uses less digits than its factorization.

108097953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 108097953600 in words is "one hundred eight billion, ninety-seven million, nine hundred fifty-three thousand, six hundred".