100625716890 has 48 divisors (see below), whose sum is σ = 268697869128. Its totient is φ = 26108293248.

The previous prime is 100625716883. The next prime is 100625716909. The reversal of 100625716890 is 98617526001.

100625716890 is a `hidden beast` number, since 1 + 0 + 0 + 625 + 7 + 16 + 8 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83135918889 + 17489798001 = 288333^2 + 132249^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15105637 + ... + 15112296.

Almost surely, 2^100625716890 is an apocalyptic number.

100625716890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100625716890 is an abundant number, since it is smaller than the sum of its proper divisors (168072152238).

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

100625716890 is a wasteful number, since it uses less digits than its factorization.

100625716890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30217983 (or 30217980 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 100625716890 in words is "one hundred billion, six hundred twenty-five million, seven hundred sixteen thousand, eight hundred ninety".