105842809 has 2 divisors, whose sum is σ = 105842810. Its totient is φ = 105842808.

The previous prime is 105842797. The next prime is 105842819. The reversal of 105842809 is 908248501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89359209 + 16483600 = 9453^2 + 4060^2 .

It is a cyclic number.

It is not a de Polignac number, because 105842809 - 2¹⁵ = 105810041 is a prime.

It is a super-2 number, since 2×105842809² = 22405400434020962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105842819) 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, 52921404 + 52921405.

It is an arithmetic number, because the mean of its divisors is an integer number (52921405).

Almost surely, 2^105842809 is an apocalyptic number.

It is an amenable number.

105842809 is a deficient number, since it is larger than the sum of its proper divisors (1).

105842809 is an equidigital number, since it uses as much as digits as its factorization.

105842809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 105842809 is about 10287.9934389559. The cubic root of 105842809 is about 473.0282944455.

The spelling of 105842809 in words is "one hundred five million, eight hundred forty-two thousand, eight hundred nine".