2105583113 has 2 divisors, whose sum is σ = 2105583114. Its totient is φ = 2105583112.

The previous prime is 2105583089. The next prime is 2105583121. The reversal of 2105583113 is 3113855012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1174295824 + 931287289 = 34268^2 + 30517^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105583113 - 2²⁸ = 1837147657 is a prime.

It is not a weakly prime, because it can be changed into another prime (2105586113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052791556 + 1052791557.

It is an arithmetic number, because the mean of its divisors is an integer number (1052791557).

Almost surely, 2^2105583113 is an apocalyptic number.

It is an amenable number.

2105583113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105583113 is an equidigital number, since it uses as much as digits as its factorization.

2105583113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 2105583113 is about 45886.6332715748. The cubic root of 2105583113 is about 1281.7130207770.

The spelling of 2105583113 in words is "two billion, one hundred five million, five hundred eighty-three thousand, one hundred thirteen".