107464216400 has 60 divisors (see below), whose sum is σ = 258236318172. Its totient is φ = 42976773120.

The previous prime is 107464216361. The next prime is 107464216411. The reversal of 107464216400 is 4612464701.

It can be written as a sum of positive squares in 6 ways, for example, as 12010406464 + 95453809936 = 109592^2 + 308956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2108012 + ... + 2158388.

Almost surely, 2^107464216400 is an apocalyptic number.

107464216400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107464216400 is an abundant number, since it is smaller than the sum of its proper divisors (150772101772).

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

107464216400 is a wasteful number, since it uses less digits than its factorization.

107464216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55728 (or 55717 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 107464216400 in words is "one hundred seven billion, four hundred sixty-four million, two hundred sixteen thousand, four hundred".