10013604624 has 135 divisors (see below), whose sum is σ = 29065400949. Its totient is φ = 3218186880.

The previous prime is 10013604613. The next prime is 10013604641. The reversal of 10013604624 is 42640631001.

The square root of 10013604624 is 100068.

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

10013604624 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 36 + 0 + 4 + 624 = 666.

10013604624 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., 658846224 + 9354758400 = 25668^2 + 96720^2 .

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 26 ways as a sum of consecutive naturals, for example, 37225162 + ... + 37225430.

Almost surely, 2^10013604624 is an apocalyptic number.

10013604624 is the 100068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013604624

10013604624 is an abundant number, since it is smaller than the sum of its proper divisors (19051796325).

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

10013604624 is an equidigital number, since it uses as much as digits as its factorization.

10013604624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10013604624 in words is "ten billion, thirteen million, six hundred four thousand, six hundred twenty-four".