10390132624 has 45 divisors (see below), whose sum is σ = 21398984017. Its totient is φ = 4886212352.

The previous prime is 10390132609. The next prime is 10390132661. The reversal of 10390132624 is 42623109301.

The square root of 10390132624 is 101932.

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

10390132624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8089203600 + 2300929024 = 89940^2 + 47968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6930627 + ... + 6932125.

Almost surely, 2^10390132624 is an apocalyptic number.

10390132624 is the 101932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10390132624

10390132624 is an abundant number, since it is smaller than the sum of its proper divisors (11008851393).

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

10390132624 is an frugal number, since it uses more digits than its factorization.

10390132624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 10390132624 in words is "ten billion, three hundred ninety million, one hundred thirty-two thousand, six hundred twenty-four".