100359072025 has 27 divisors (see below), whose sum is σ = 132231643869. Its totient is φ = 75544202880.

The previous prime is 100359071993. The next prime is 100359072043. The reversal of 100359072025 is 520270953001.

The square root of 100359072025 is 316795.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2347499401 + 98011572624 = 48451^2 + 313068^2 .

It is not a de Polignac number, because 100359072025 - 2⁵ = 100359071993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26925712 + ... + 26929438.

Almost surely, 2^100359072025 is an apocalyptic number.

100359072025 is the 316795-th square number.

100359072025 is the 158398-th centered octagonal number.

It is an amenable number.

100359072025 is a deficient number, since it is larger than the sum of its proper divisors (31872571844).

100359072025 is an frugal number, since it uses more digits than its factorization.

100359072025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7498 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 100359072025 in words is "one hundred billion, three hundred fifty-nine million, seventy-two thousand, twenty-five".