105665589 has 12 divisors (see below), whose sum is σ = 157891500. Its totient is φ = 68014464.

The previous prime is 105665587. The next prime is 105665597. The reversal of 105665589 is 985566501.

It is a happy number.

105665589 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 65 + 589 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71267364 + 34398225 = 8442^2 + 5865^2 .

It is not a de Polignac number, because 105665589 - 2¹ = 105665587 is a prime.

It is a super-2 number, since 2×105665589² = 22330433397433842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105665587) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202164 + ... + 202685.

It is an arithmetic number, because the mean of its divisors is an integer number (13157625).

Almost surely, 2^105665589 is an apocalyptic number.

It is an amenable number.

105665589 is a deficient number, since it is larger than the sum of its proper divisors (52225911).

105665589 is a wasteful number, since it uses less digits than its factorization.

105665589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404884 (or 404881 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 105665589 is about 10279.3768780019. The cubic root of 105665589 is about 472.7641388666.

The spelling of 105665589 in words is "one hundred five million, six hundred sixty-five thousand, five hundred eighty-nine".