105564564 has 72 divisors (see below), whose sum is σ = 305934720. Its totient is φ = 30065472.

The previous prime is 105564539. The next prime is 105564581. The reversal of 105564564 is 465465501.

105564564 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 645 + 6 + 4 = 666.

It is a super-2 number, since 2×105564564² = 22287754345020192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127857 + ... + 128679.

Almost surely, 2^105564564 is an apocalyptic number.

105564564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105564564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152967360).

105564564 is an abundant number, since it is smaller than the sum of its proper divisors (200370156).

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

105564564 is a wasteful number, since it uses less digits than its factorization.

105564564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 105564564 is about 10274.4617377262. The cubic root of 105564564 is about 472.6134236817.

The spelling of 105564564 in words is "one hundred five million, five hundred sixty-four thousand, five hundred sixty-four".