107563009024 has 99 divisors (see below), whose sum is σ = 221790093903. Its totient is φ = 52139040768.

The previous prime is 107563008997. The next prime is 107563009031. The reversal of 107563009024 is 420900365701.

The square root of 107563009024 is 327968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1026049024 + 106536960000 = 32032^2 + 326400^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 388313974 + ... + 388314250.

Almost surely, 2^107563009024 is an apocalyptic number.

107563009024 is the 327968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107563009024

107563009024 is an abundant number, since it is smaller than the sum of its proper divisors (114227084879).

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

107563009024 is an frugal number, since it uses more digits than its factorization.

107563009024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 107563009024 in words is "one hundred seven billion, five hundred sixty-three million, nine thousand, twenty-four".