100580951025 has 27 divisors (see below), whose sum is σ = 180160179979. Its totient is φ = 53640636720.

The previous prime is 100580950973. The next prime is 100580951033. The reversal of 100580951025 is 520159085001.

It is a happy number.

The square root of 100580951025 is 317145.

It is a perfect power (a square), and thus also a powerful number.

100580951025 is a `hidden beast` number, since 1 + 0 + 0 + 580 + 9 + 51 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36209142369 + 64371808656 = 190287^2 + 253716^2 .

It is not a de Polignac number, because 100580951025 - 2²⁷ = 100446733297 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4746604 + ... + 4767746.

Almost surely, 2^100580951025 is an apocalyptic number.

100580951025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100580951025 is the 317145-th square number.

100580951025 is the 158573-rd centered octagonal number.

It is an amenable number.

100580951025 is a deficient number, since it is larger than the sum of its proper divisors (79579228954).

100580951025 is an frugal number, since it uses more digits than its factorization.

100580951025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42302 (or 21151 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

Multiplying 100580951025 by its sum of digits (36), we get a square (3620914236900 = 1902870²).

The spelling of 100580951025 in words is "one hundred billion, five hundred eighty million, nine hundred fifty-one thousand, twenty-five".