107074400 has 36 divisors (see below), whose sum is σ = 261397332. Its totient is φ = 42829440.

The previous prime is 107074397. The next prime is 107074417. The reversal of 107074400 is 4470701.

It is a super-2 number, since 2×107074400² = 22929854270720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66122 + ... + 67721.

It is an arithmetic number, because the mean of its divisors is an integer number (7261037).

Almost surely, 2^107074400 is an apocalyptic number.

107074400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107074400 is an abundant number, since it is smaller than the sum of its proper divisors (154322932).

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

107074400 is a wasteful number, since it uses less digits than its factorization.

107074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133863 (or 133850 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 107074400 is about 10347.6760676009. The cubic root of 107074400 is about 474.8559489318.

The spelling of 107074400 in words is "one hundred seven million, seventy-four thousand, four hundred".