10305904324 has 27 divisors (see below), whose sum is σ = 18198458733. Its totient is φ = 5106761472.

The previous prime is 10305904303. The next prime is 10305904327. The reversal of 10305904324 is 42340950301.

The square root of 10305904324 is 101518.

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

10305904324 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., 2497000900 + 7808903424 = 49970^2 + 88368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10305904327) by changing a digit.

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, 39185817 + ... + 39186079.

Almost surely, 2^10305904324 is an apocalyptic number.

10305904324 is the 101518-th square number.

It is an amenable number.

10305904324 is a deficient number, since it is larger than the sum of its proper divisors (7892554409).

10305904324 is an frugal number, since it uses more digits than its factorization.

10305904324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 10305904324 in words is "ten billion, three hundred five million, nine hundred four thousand, three hundred twenty-four".