100872225 has 18 divisors (see below), whose sum is σ = 180673766. Its totient is φ = 53798400.

The previous prime is 100872193. The next prime is 100872229. The reversal of 100872225 is 522278001.

It can be written as a sum of positive squares in 3 ways, for example, as 11229201 + 89643024 = 3351^2 + 9468^2 .

It is not a de Polignac number, because 100872225 - 2⁵ = 100872193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100872229) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 223936 + ... + 224385.

Almost surely, 2^100872225 is an apocalyptic number.

100872225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100872225 is a deficient number, since it is larger than the sum of its proper divisors (79801541).

100872225 is a wasteful number, since it uses less digits than its factorization.

100872225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448337 (or 448329 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 100872225 is about 10043.5165654267. The cubic root of 100872225 is about 465.5044819690.

The spelling of 100872225 in words is "one hundred million, eight hundred seventy-two thousand, two hundred twenty-five".