100416225 has 48 divisors (see below), whose sum is σ = 204348032. Its totient is φ = 42370560.

The previous prime is 100416221. The next prime is 100416247. The reversal of 100416225 is 522614001.

It is not a de Polignac number, because 100416225 - 2² = 100416221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100416221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532 + ... + 14181.

Almost surely, 2^100416225 is an apocalyptic number.

100416225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100416225 is an abundant number, since it is smaller than the sum of its proper divisors (103931807).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100416225 is a wasteful number, since it uses less digits than its factorization.

100416225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14746 (or 14741 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100416225 is about 10020.7896395444. The cubic root of 100416225 is about 464.8019737213.

The spelling of 100416225 in words is "one hundred million, four hundred sixteen thousand, two hundred twenty-five".