10289870721 has 105 divisors (see below), whose sum is σ = 17749886079. Its totient is φ = 5959744128.

The previous prime is 10289870587. The next prime is 10289870743. The reversal of 10289870721 is 12707898201.

The square root of 10289870721 is 101439.

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

10289870721 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 7 ways, for example, as 3138800625 + 7151070096 = 56025^2 + 84564^2 .

It is not a de Polignac number, because 10289870721 - 2¹⁹ = 10289346433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10289870771) 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 104 ways as a sum of consecutive naturals, for example, 605286505 + ... + 605286521.

Almost surely, 2^10289870721 is an apocalyptic number.

10289870721 is the 101439-th square number.

10289870721 is the 50720-th centered octagonal number.

It is an amenable number.

10289870721 is a deficient number, since it is larger than the sum of its proper divisors (7460015358).

10289870721 is an frugal number, since it uses more digits than its factorization.

10289870721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 10289870721 in words is "ten billion, two hundred eighty-nine million, eight hundred seventy thousand, seven hundred twenty-one".