100371744225 has 27 divisors (see below), whose sum is σ = 179785458489. Its totient is φ = 53529062400.

The previous prime is 100371744203. The next prime is 100371744227. The reversal of 100371744225 is 522447173001.

The square root of 100371744225 is 316815.

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 1003052241 + 99368691984 = 31671^2 + 315228^2 .

It is not a de Polignac number, because 100371744225 - 2³³ = 91781809633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100371744225.

It is not an unprimeable number, because it can be changed into a prime (100371744227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4741665 + ... + 4762785.

Almost surely, 2^100371744225 is an apocalyptic number.

100371744225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100371744225 is the 316815-th square number.

100371744225 is the 158408-th centered octagonal number.

It is an amenable number.

100371744225 is a deficient number, since it is larger than the sum of its proper divisors (79413714264).

100371744225 is an frugal number, since it uses more digits than its factorization.

100371744225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42258 (or 21129 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Multiplying 100371744225 by its sum of digits (36), we get a square (3613382792100 = 1900890²).

The spelling of 100371744225 in words is "one hundred billion, three hundred seventy-one million, seven hundred forty-four thousand, two hundred twenty-five".