10233908106304 has 63 divisors (see below), whose sum is σ = 21033856951887. Its totient is φ = 4940149068288.

The previous prime is 10233908106281. The next prime is 10233908106337. The reversal of 10233908106304 is 40360180933201.

It is a happy number.

The square root of 10233908106304 is 3199048.

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 3642570736704 + 6591337369600 = 1908552^2 + 2567360^2 .

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, 742172242 + ... + 742186030.

Almost surely, 2^{10233908106304} is an apocalyptic number.

10233908106304 is the 3199048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233908106304

10233908106304 is an abundant number, since it is smaller than the sum of its proper divisors (10799948845583).

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

10233908106304 is an frugal number, since it uses more digits than its factorization.

10233908106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27648 (or 13820 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 10233908106304 in words is "ten trillion, two hundred thirty-three billion, nine hundred eight million, one hundred six thousand, three hundred four".