100593637225 has 27 divisors (see below), whose sum is σ = 125737106607. Its totient is φ = 79834236480.

The previous prime is 100593637211. The next prime is 100593637241. The reversal of 100593637225 is 522736395001.

The square root of 100593637225 is 317165.

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

It can be written as a sum of positive squares in 13 ways, for example, as 48172787289 + 52420849936 = 219483^2 + 228956^2 .

It is not a de Polignac number, because 100593637225 - 2²⁵ = 100560082793 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, 363153787 + ... + 363154063.

Almost surely, 2^100593637225 is an apocalyptic number.

100593637225 is the 317165-th square number.

100593637225 is the 158583-rd centered octagonal number.

It is an amenable number.

100593637225 is a deficient number, since it is larger than the sum of its proper divisors (25143469382).

100593637225 is an frugal number, since it uses more digits than its factorization.

100593637225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The spelling of 100593637225 in words is "one hundred billion, five hundred ninety-three million, six hundred thirty-seven thousand, two hundred twenty-five".