107225829 has 16 divisors (see below), whose sum is σ = 159283200. Its totient is φ = 71290368.

The previous prime is 107225809. The next prime is 107225843. The reversal of 107225829 is 928522701.

107225829 is a `hidden beast` number, since 1 + 0 + 72 + 2 + 582 + 9 = 666.

It is not a de Polignac number, because 107225829 - 2¹² = 107221733 is a prime.

It is a super-2 number, since 2×107225829² = 22994756809474482, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107225793 and 107225802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107225809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5157 + ... + 15525.

It is an arithmetic number, because the mean of its divisors is an integer number (9955200).

Almost surely, 2^107225829 is an apocalyptic number.

It is an amenable number.

107225829 is a deficient number, since it is larger than the sum of its proper divisors (52057371).

107225829 is a wasteful number, since it uses less digits than its factorization.

107225829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10761 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 107225829 is about 10354.9905359686. The cubic root of 107225829 is about 475.0796970614.

The spelling of 107225829 in words is "one hundred seven million, two hundred twenty-five thousand, eight hundred twenty-nine".