10102689 has 12 divisors (see below), whose sum is σ = 14793636. Its totient is φ = 6642432.

The previous prime is 10102679. The next prime is 10102691. The reversal of 10102689 is 98620101.

It can be written as a sum of positive squares in 2 ways, for example, as 8803089 + 1299600 = 2967^2 + 1140^2 .

It is not a de Polignac number, because 10102689 - 2⁹ = 10102177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7032 + ... + 8345.

It is an arithmetic number, because the mean of its divisors is an integer number (1232803).

Almost surely, 2^10102689 is an apocalyptic number.

It is an amenable number.

10102689 is a deficient number, since it is larger than the sum of its proper divisors (4690947).

10102689 is a wasteful number, since it uses less digits than its factorization.

10102689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15456 (or 15453 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10102689 is about 3178.4727464617. The cubic root of 10102689 is about 216.1784148325.

The spelling of 10102689 in words is "ten million, one hundred two thousand, six hundred eighty-nine".