2106610065 has 64 divisors (see below), whose sum is σ = 4286545920. Its totient is φ = 961571520.

The previous prime is 2106610061. The next prime is 2106610069. The reversal of 2106610065 is 5600166012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2106610061) and next prime (2106610069).

It is not a de Polignac number, because 2106610065 - 2² = 2106610061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2106610061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 859672 + ... + 862118.

It is an arithmetic number, because the mean of its divisors is an integer number (66977280).

Almost surely, 2^2106610065 is an apocalyptic number.

It is an amenable number.

2106610065 is an abundant number, since it is smaller than the sum of its proper divisors (2179935855).

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

2106610065 is a wasteful number, since it uses less digits than its factorization.

2106610065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2106610065 is about 45897.8220071498. The cubic root of 2106610065 is about 1281.9213627177.

Adding to 2106610065 its reverse (5600166012), we get a palindrome (7706776077).

It can be divided in two parts, 2106 and 610065, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 2106610065 in words is "two billion, one hundred six million, six hundred ten thousand, sixty-five".