182106225 has 120 divisors (see below), whose sum is σ = 399706560. Its totient is φ = 80196480.

The previous prime is 182106181. The next prime is 182106257. The reversal of 182106225 is 522601281.

It is a happy number.

182106225 is a `hidden beast` number, since 18 + 21 + 0 + 622 + 5 = 666.

It is not a de Polignac number, because 182106225 - 2⁷ = 182106097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 410854 + ... + 411296.

It is an arithmetic number, because the mean of its divisors is an integer number (3330888).

Almost surely, 2^182106225 is an apocalyptic number.

182106225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

182106225 is an abundant number, since it is smaller than the sum of its proper divisors (217600335).

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

182106225 is a wasteful number, since it uses less digits than its factorization.

182106225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 182106225 is about 13494.6739493772. The cubic root of 182106225 is about 566.8153425726.

The spelling of 182106225 in words is "one hundred eighty-two million, one hundred six thousand, two hundred twenty-five".