105564 has 24 divisors (see below), whose sum is σ = 259840. Its totient is φ = 33264.

The previous prime is 105563. The next prime is 105601. The reversal of 105564 is 465501.

It is a happy number.

It is a super-2 number, since 2×105564² = 22287516192, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 105564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 459.

2¹⁰⁵⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129920).

105564 is an abundant number, since it is smaller than the sum of its proper divisors (154276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105564 is a wasteful number, since it uses less digits than its factorization.

105564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105564 is about 324.9061402929. The cubic root of 105564 is about 47.2612582003.

It can be divided in two parts, 10556 and 4, that multiplied together give a palindrome (42224).

The spelling of 105564 in words is "one hundred five thousand, five hundred sixty-four".