107059814400 has 1344 divisors, whose sum is σ = 461815013376. Its totient is φ = 21233664000.

The previous prime is 107059814399. The next prime is 107059814413. The reversal of 107059814400 is 4418950701.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×107059814400² (a number of 23 digits) 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 95 ways as a sum of consecutive naturals, for example, 1466572764 + ... + 1466572836.

Almost surely, 2^107059814400 is an apocalyptic number.

107059814400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107059814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230907506688).

107059814400 is an abundant number, since it is smaller than the sum of its proper divisors (354755198976).

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

107059814400 is a wasteful number, since it uses less digits than its factorization.

107059814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 107059814400 in words is "one hundred seven billion, fifty-nine million, eight hundred fourteen thousand, four hundred".