107274590784 has 105 divisors (see below), whose sum is σ = 318065413017. Its totient is φ = 35750336256.

The previous prime is 107274590779. The next prime is 107274590831. The reversal of 107274590784 is 487095472701.

The square root of 107274590784 is 327528.

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

107274590784 is a `hidden beast` number, since 107 + 2 + 7 + 459 + 0 + 7 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78889080384 + 28385510400 = 280872^2 + 168480^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 107274590784.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23579742 + ... + 23584290.

Almost surely, 2^107274590784 is an apocalyptic number.

107274590784 is the 327528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107274590784

107274590784 is an abundant number, since it is smaller than the sum of its proper divisors (210790822233).

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

107274590784 is an frugal number, since it uses more digits than its factorization.

107274590784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 107274590784 in words is "one hundred seven billion, two hundred seventy-four million, five hundred ninety thousand, seven hundred eighty-four".