100007725488 has 120 divisors (see below), whose sum is σ = 284541423600. Its totient is φ = 30244938240.

The previous prime is 100007725459. The next prime is 100007725523. The reversal of 100007725488 is 884527700001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2939358 + ... + 2973186.

It is an arithmetic number, because the mean of its divisors is an integer number (2371178530).

Almost surely, 2^100007725488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100007725488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142270711800).

100007725488 is an abundant number, since it is smaller than the sum of its proper divisors (184533698112).

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

100007725488 is a wasteful number, since it uses less digits than its factorization.

100007725488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34371 (or 34354 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The spelling of 100007725488 in words is "one hundred billion, seven million, seven hundred twenty-five thousand, four hundred eighty-eight".