108792668160 has 840 divisors, whose sum is σ = 430279442208. Its totient is φ = 26276659200.

The previous prime is 108792668137. The next prime is 108792668177. The reversal of 108792668160 is 61866297801.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 108792668097 and 108792668106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 401448825 + ... + 401449095.

Almost surely, 2^108792668160 is an apocalyptic number.

108792668160 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 108792668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215139721104).

108792668160 is an abundant number, since it is smaller than the sum of its proper divisors (321486774048).

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

108792668160 is an equidigital number, since it uses as much as digits as its factorization.

108792668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 108792668160 in words is "one hundred eight billion, seven hundred ninety-two million, six hundred sixty-eight thousand, one hundred sixty".