100725930000 has 700 divisors, whose sum is σ = 375663396108. Its totient is φ = 26127360000.

The previous prime is 100725929897. The next prime is 100725930017. The reversal of 100725930000 is 39527001.

100725930000 is a `hidden beast` number, since 1 + 0 + 0 + 72 + 593 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 99724587264 + 1001342736 = 315792^2 + 31644^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 298889832 + ... + 298890168.

Almost surely, 2^100725930000 is an apocalyptic number.

100725930000 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 100725930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187831698054).

100725930000 is an abundant number, since it is smaller than the sum of its proper divisors (274937466108).

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

100725930000 is an frugal number, since it uses more digits than its factorization.

100725930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 100725930000 in words is "one hundred billion, seven hundred twenty-five million, nine hundred thirty thousand".