2106564 has 24 divisors (see below), whose sum is σ = 4939200. Its totient is φ = 698784.

The previous prime is 2106563. The next prime is 2106617. The reversal of 2106564 is 4656012.

It is a super-2 number, since 2×2106564² = 8875223772192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2106563) 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, 3937 + ... + 4439.

It is an arithmetic number, because the mean of its divisors is an integer number (205800).

2^2106564 is an apocalyptic number.

It is an amenable number.

2106564 is an abundant number, since it is smaller than the sum of its proper divisors (2832636).

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

2106564 is a wasteful number, since it uses less digits than its factorization.

2106564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2106564 is about 1451.4007027696. The cubic root of 2106564 is about 128.1912018774.

The spelling of 2106564 in words is "two million, one hundred six thousand, five hundred sixty-four".