2106164564 has 48 divisors (see below), whose sum is σ = 4366344192. Its totient is φ = 870214752.

The previous prime is 2106164563. The next prime is 2106164677. The reversal of 2106164564 is 4654616012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106164563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76229 + ... + 100115.

It is an arithmetic number, because the mean of its divisors is an integer number (90965504).

Almost surely, 2^2106164564 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 2106164564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183172096).

2106164564 is an abundant number, since it is smaller than the sum of its proper divisors (2260179628).

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

2106164564 is a wasteful number, since it uses less digits than its factorization.

2106164564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24012 (or 24010 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2106164564 is about 45892.9685681805. The cubic root of 2106164564 is about 1281.8309904301.

The spelling of 2106164564 in words is "two billion, one hundred six million, one hundred sixty-four thousand, five hundred sixty-four".