10157213089 has 9 divisors (see below), whose sum is σ = 10272893427. Its totient is φ = 10042824384.

The previous prime is 10157212999. The next prime is 10157213117. The reversal of 10157213089 is 98031275101.

The square root of 10157213089 is 100783.

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

10157213089 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., 4560976225 + 5596236864 = 67535^2 + 74808^2 .

It is not a de Polignac number, because 10157213089 - 2⁹ = 10157212577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10157253089) 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, 9775432 + ... + 9776470.

It is an arithmetic number, because the mean of its divisors is an integer number (1141432603).

Almost surely, 2^10157213089 is an apocalyptic number.

10157213089 is the 100783-rd square number.

10157213089 is the 50392-nd centered octagonal number.

It is an amenable number.

10157213089 is a deficient number, since it is larger than the sum of its proper divisors (115680338).

10157213089 is an frugal number, since it uses more digits than its factorization.

10157213089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The spelling of 10157213089 in words is "ten billion, one hundred fifty-seven million, two hundred thirteen thousand, eighty-nine".