2163105 has 60 divisors (see below), whose sum is σ = 4552020. Its totient is φ = 979776.

The previous prime is 2163101. The next prime is 2163107. The reversal of 2163105 is 5013612.

It can be written as a sum of positive squares in 2 ways, for example, as 1147041 + 1016064 = 1071^2 + 1008^2 .

It is not a de Polignac number, because 2163105 - 2² = 2163101 is a prime.

It is a super-3 number, since 3×2163105³ = 30363655703332147875, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2163101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19791 + ... + 19899.

It is an arithmetic number, because the mean of its divisors is an integer number (75867).

2^2163105 is an apocalyptic number.

It is an amenable number.

2163105 is an abundant number, since it is smaller than the sum of its proper divisors (2388915).

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

2163105 is a wasteful number, since it uses less digits than its factorization.

2163105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2163105 is about 1470.7498087710. The cubic root of 2163105 is about 129.3279917433.

Adding to 2163105 its reverse (5013612), we get a palindrome (7176717).

It can be divided in two parts, 216 and 3105, that added together give a triangular number (3321 = T₈₁).

The spelling of 2163105 in words is "two million, one hundred sixty-three thousand, one hundred five".