107464400 has 30 divisors (see below), whose sum is σ = 258184182. Its totient is φ = 42985600.

The previous prime is 107464381. The next prime is 107464421. The reversal of 107464400 is 4464701.

It can be written as a sum of positive squares in 3 ways, for example, as 10086976 + 97377424 = 3176^2 + 9868^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 107464400.

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, 133931 + ... + 134730.

Almost surely, 2^107464400 is an apocalyptic number.

107464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107464400 is an abundant number, since it is smaller than the sum of its proper divisors (150719782).

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

107464400 is a wasteful number, since it uses less digits than its factorization.

107464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268679 (or 268668 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 107464400 is about 10366.5037500596. The cubic root of 107464400 is about 475.4317772919.

The spelling of 107464400 in words is "one hundred seven million, four hundred sixty-four thousand, four hundred".