2153312105 has 24 divisors (see below), whose sum is σ = 3018403080. Its totient is φ = 1470389760.

The previous prime is 2153312093. The next prime is 2153312131. The reversal of 2153312105 is 5012133512.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 286726489 + 1866585616 = 16933^2 + 43204^2 .

It is not a de Polignac number, because 2153312105 - 2⁶ = 2153312041 is a prime.

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, 40811 + ... + 77279.

It is an arithmetic number, because the mean of its divisors is an integer number (125766795).

Almost surely, 2^2153312105 is an apocalyptic number.

It is an amenable number.

2153312105 is a deficient number, since it is larger than the sum of its proper divisors (865090975).

2153312105 is a wasteful number, since it uses less digits than its factorization.

2153312105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36729 (or 36722 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 2153312105 is about 46403.7940797948. The cubic root of 2153312105 is about 1291.3253020263.

Adding to 2153312105 its reverse (5012133512), we get a palindrome (7165445617).

The spelling of 2153312105 in words is "two billion, one hundred fifty-three million, three hundred twelve thousand, one hundred five".