107382046864 has 135 divisors (see below), whose sum is σ = 227573768331. Its totient is φ = 49075153920.

The previous prime is 107382046859. The next prime is 107382046879. The reversal of 107382046864 is 468640283701.

The square root of 107382046864 is 327692.

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 9908211600 + 97473835264 = 99540^2 + 312208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1359266377 + ... + 1359266455.

Almost surely, 2^107382046864 is an apocalyptic number.

107382046864 is the 327692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107382046864

107382046864 is an abundant number, since it is smaller than the sum of its proper divisors (120191721467).

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

107382046864 is an frugal number, since it uses more digits than its factorization.

107382046864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 107382046864 by its sum of digits (49), we get a square (5261720296336 = 2293844²).

The spelling of 107382046864 in words is "one hundred seven billion, three hundred eighty-two million, forty-six thousand, eight hundred sixty-four".