107427734400 has 768 divisors, whose sum is σ = 417808972800. Its totient is φ = 23755161600.

The previous prime is 107427734383. The next prime is 107427734431. The reversal of 107427734400 is 4437724701.

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, 299241421 + ... + 299241779.

It is an arithmetic number, because the mean of its divisors is an integer number (544022100).

Almost surely, 2^107427734400 is an apocalyptic number.

107427734400 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 107427734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208904486400).

107427734400 is an abundant number, since it is smaller than the sum of its proper divisors (310381238400).

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

107427734400 is a wasteful number, since it uses less digits than its factorization.

107427734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The spelling of 107427734400 in words is "one hundred seven billion, four hundred twenty-seven million, seven hundred thirty-four thousand, four hundred".