10029621904 has 15 divisors (see below), whose sum is σ = 19433168617. Its totient is φ = 5014610656.

The previous prime is 10029621871. The next prime is 10029621923. The reversal of 10029621904 is 40912692001.

The square root of 10029621904 is 100148.

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

10029621904 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., 4953344400 + 5076277504 = 70380^2 + 71248^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10029621904.

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 2 ways as a sum of consecutive naturals, for example, 388074 + ... + 413110.

Almost surely, 2^10029621904 is an apocalyptic number.

10029621904 is the 100148-th square number.

It is an amenable number.

10029621904 is a deficient number, since it is larger than the sum of its proper divisors (9403546713).

10029621904 is an frugal number, since it uses more digits than its factorization.

10029621904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50082 (or 25039 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 10029621904 in words is "ten billion, twenty-nine million, six hundred twenty-one thousand, nine hundred four".