108701160744960 has 384 divisors, whose sum is σ = 441598473388800. Its totient is φ = 24845979156480.

The previous prime is 108701160744937. The next prime is 108701160745007. The reversal of 108701160744960 is 69447061107801.

108701160744960 is a `hidden beast` number, since 1 + 0 + 8 + 70 + 1 + 16 + 0 + 74 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 108701160744897 and 108701160744906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26147571 + ... + 30018290.

It is an arithmetic number, because the mean of its divisors is an integer number (1149996024450).

Almost surely, 2^{108701160744960} is an apocalyptic number.

108701160744960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108701160744960 is an abundant number, since it is smaller than the sum of its proper divisors (332897312643840).

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

108701160744960 is an equidigital number, since it uses as much as digits as its factorization.

108701160744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56165904 (or 56165878 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 108701160744960 in words is "one hundred eight trillion, seven hundred one billion, one hundred sixty million, seven hundred forty-four thousand, nine hundred sixty".