108961792065 has 72 divisors (see below), whose sum is σ = 219570781248. Its totient is φ = 48966356160.

The previous prime is 108961791979. The next prime is 108961792073. The reversal of 108961792065 is 560297169801.

108961792065 is a `hidden beast` number, since 10 + 8 + 9 + 617 + 9 + 2 + 0 + 6 + 5 = 666.

It is not a de Polignac number, because 108961792065 - 2⁷ = 108961791937 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 1046830 + ... + 1146200.

It is an arithmetic number, because the mean of its divisors is an integer number (3049594184).

Almost surely, 2^108961792065 is an apocalyptic number.

108961792065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108961792065 is an abundant number, since it is smaller than the sum of its proper divisors (110608989183).

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

108961792065 is an equidigital number, since it uses as much as digits as its factorization.

108961792065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99507 (or 99445 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 108961792065 in words is "one hundred eight billion, nine hundred sixty-one million, seven hundred ninety-two thousand, sixty-five".