108163564800 has 432 divisors, whose sum is σ = 377142528000. Its totient is φ = 27224432640.

The previous prime is 108163564763. The next prime is 108163564811. The reversal of 108163564800 is 8465361801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174738891 + ... + 174739509.

Almost surely, 2^108163564800 is an apocalyptic number.

108163564800 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 108163564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188571264000).

108163564800 is an abundant number, since it is smaller than the sum of its proper divisors (268978963200).

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

108163564800 is a wasteful number, since it uses less digits than its factorization.

108163564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 108163564800 in words is "one hundred eight billion, one hundred sixty-three million, five hundred sixty-four thousand, eight hundred".