106564 has 6 divisors (see below), whose sum is σ = 186494. Its totient is φ = 53280.

The previous prime is 106543. The next prime is 106591. The reversal of 106564 is 465601.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 40000 = 258^2 + 200^2 .

It is a super-2 number, since 2×106564² = 22711772192, which contains 22 as substring.

It is an unprimeable number.

106564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13317 + ... + 13324.

2¹⁰⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

106564 is a deficient number, since it is larger than the sum of its proper divisors (79930).

106564 is a wasteful number, since it uses less digits than its factorization.

106564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26645 (or 26643 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106564 is about 326.4414189407. The cubic root of 106564 is about 47.4100235764.

It can be divided in two parts, 10656 and 4, that multiplied together give a palindrome (42624).

The spelling of 106564 in words is "one hundred six thousand, five hundred sixty-four".