107724875328 has 336 divisors, whose sum is σ = 363957534720. Its totient is φ = 29825805312.

The previous prime is 107724875309. The next prime is 107724875333. The reversal of 107724875328 is 823578427701.

107724875328 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 24 + 87 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19516153 + ... + 19521671.

Almost surely, 2^107724875328 is an apocalyptic number.

107724875328 is a gapful number since it is divisible by the number (18) 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 107724875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181978767360).

107724875328 is an abundant number, since it is smaller than the sum of its proper divisors (256232659392).

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

107724875328 is a wasteful number, since it uses less digits than its factorization.

107724875328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 107724875328 in words is "one hundred seven billion, seven hundred twenty-four million, eight hundred seventy-five thousand, three hundred twenty-eight".