105935909 has 2 divisors, whose sum is σ = 105935910. Its totient is φ = 105935908.

The previous prime is 105935903. The next prime is 105935933. The reversal of 105935909 is 909539501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105165025 + 770884 = 10255^2 + 878^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105935909 is a prime.

It is a super-2 number, since 2×105935909² = 22444833631312562, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105935903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52967954 + 52967955.

It is an arithmetic number, because the mean of its divisors is an integer number (52967955).

Almost surely, 2^105935909 is an apocalyptic number.

It is an amenable number.

105935909 is a deficient number, since it is larger than the sum of its proper divisors (1).

105935909 is an equidigital number, since it uses as much as digits as its factorization.

105935909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54675, while the sum is 41.

The square root of 105935909 is about 10292.5171362500. The cubic root of 105935909 is about 473.1669466872.

The spelling of 105935909 in words is "one hundred five million, nine hundred thirty-five thousand, nine hundred nine".