10107589 has 2 divisors, whose sum is σ = 10107590. Its totient is φ = 10107588.

The previous prime is 10107523. The next prime is 10107599. The reversal of 10107589 is 98570101.

10107589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8076964 + 2030625 = 2842^2 + 1425^2 .

It is a cyclic number.

It is not a de Polignac number, because 10107589 - 2²¹ = 8010437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10107589.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10107509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053794 + 5053795.

It is an arithmetic number, because the mean of its divisors is an integer number (5053795).

Almost surely, 2^10107589 is an apocalyptic number.

It is an amenable number.

10107589 is a deficient number, since it is larger than the sum of its proper divisors (1).

10107589 is an equidigital number, since it uses as much as digits as its factorization.

10107589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 31.

The square root of 10107589 is about 3179.2434634674. The cubic root of 10107589 is about 216.2133594241.

The spelling of 10107589 in words is "ten million, one hundred seven thousand, five hundred eighty-nine".