100375568160 has 384 divisors, whose sum is σ = 382330368000. Its totient is φ = 21623500800.

The previous prime is 100375568147. The next prime is 100375568191. The reversal of 100375568160 is 61865573001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12700210 + ... + 12708110.

It is an arithmetic number, because the mean of its divisors is an integer number (995652000).

Almost surely, 2^100375568160 is an apocalyptic number.

100375568160 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 100375568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191165184000).

100375568160 is an abundant number, since it is smaller than the sum of its proper divisors (281954799840).

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

100375568160 is a wasteful number, since it uses less digits than its factorization.

100375568160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8144 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 100375568160 in words is "one hundred billion, three hundred seventy-five million, five hundred sixty-eight thousand, one hundred sixty".