105868589 has 16 divisors (see below), whose sum is σ = 115872000. Its totient is φ = 96344640.

The previous prime is 105868573. The next prime is 105868603. The reversal of 105868589 is 985868501.

It is a cyclic number.

It is not a de Polignac number, because 105868589 - 2⁴ = 105868573 is a prime.

It is a super-2 number, since 2×105868589² = 22416316273701842, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105868289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148967 + ... + 149675.

It is an arithmetic number, because the mean of its divisors is an integer number (7242000).

Almost surely, 2^105868589 is an apocalyptic number.

105868589 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105868589 is a deficient number, since it is larger than the sum of its proper divisors (10003411).

105868589 is a wasteful number, since it uses less digits than its factorization.

105868589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028.

The product of its (nonzero) digits is 691200, while the sum is 50.

The square root of 105868589 is about 10289.2462794901. The cubic root of 105868589 is about 473.0666962969.

The spelling of 105868589 in words is "one hundred five million, eight hundred sixty-eight thousand, five hundred eighty-nine".