100116725760 has 760 divisors, whose sum is σ = 383677420896. Its totient is φ = 24914165760.

The previous prime is 100116725717. The next prime is 100116725789. The reversal of 100116725760 is 67527611001.

100116725760 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 16 + 72 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 2441871340 + ... + 2441871380.

Almost surely, 2^100116725760 is an apocalyptic number.

100116725760 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 100116725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191838710448).

100116725760 is an abundant number, since it is smaller than the sum of its proper divisors (283560695136).

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

100116725760 is an frugal number, since it uses more digits than its factorization.

100116725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 100116725760 in words is "one hundred billion, one hundred sixteen million, seven hundred twenty-five thousand, seven hundred sixty".