10009602304 has 135 divisors (see below), whose sum is σ = 22245867357. Its totient is φ = 4494956544.

The previous prime is 10009602299. The next prime is 10009602319. The reversal of 10009602304 is 40320690001.

The square root of 10009602304 is 100048.

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

It can be written as a sum of positive squares in 7 ways, for example, as 8042502400 + 1967099904 = 89680^2 + 44352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 270529774 + ... + 270529810.

Almost surely, 2^10009602304 is an apocalyptic number.

10009602304 is the 100048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10009602304

10009602304 is an abundant number, since it is smaller than the sum of its proper divisors (12236265053).

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

10009602304 is an frugal number, since it uses more digits than its factorization.

10009602304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Multiplying 10009602304 by its sum of digits (25), we get a square (250240057600 = 500240²).

Multiplying 10009602304 by its product of nonzero digits (1296), we get a square (12972444585984 = 3601728²).

The spelling of 10009602304 in words is "ten billion, nine million, six hundred two thousand, three hundred four".