107402364 has 72 divisors (see below), whose sum is σ = 298247040. Its totient is φ = 32437152.

The previous prime is 107402357. The next prime is 107402369. The reversal of 107402364 is 463204701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107402369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12319 + ... + 19145.

It is an arithmetic number, because the mean of its divisors is an integer number (4142320).

Almost surely, 2^107402364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107402364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149123520).

107402364 is an abundant number, since it is smaller than the sum of its proper divisors (190844676).

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

107402364 is a wasteful number, since it uses less digits than its factorization.

107402364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 107402364 is about 10363.5111810621. The cubic root of 107402364 is about 475.3402754771.

The spelling of 107402364 in words is "one hundred seven million, four hundred two thousand, three hundred sixty-four".