105989564 has 12 divisors (see below), whose sum is σ = 185631600. Its totient is φ = 52951968.

The previous prime is 105989561. The next prime is 105989567. The reversal of 105989564 is 465989501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105989561) and next prime (105989567).

It is a super-2 number, since 2×105989564² = 22467575353820192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105989561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4769 + ... + 15320.

It is an arithmetic number, because the mean of its divisors is an integer number (15469300).

Almost surely, 2^105989564 is an apocalyptic number.

It is an amenable number.

105989564 is a deficient number, since it is larger than the sum of its proper divisors (79642036).

105989564 is a wasteful number, since it uses less digits than its factorization.

105989564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21412 (or 21410 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The square root of 105989564 is about 10295.1233115490. The cubic root of 105989564 is about 473.2468172674.

The spelling of 105989564 in words is "one hundred five million, nine hundred eighty-nine thousand, five hundred sixty-four".