105362909 has 2 divisors, whose sum is σ = 105362910. Its totient is φ = 105362908.

The previous prime is 105362891. The next prime is 105362941. The reversal of 105362909 is 909263501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68724100 + 36638809 = 8290^2 + 6053^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105362909 is a prime.

It is a super-2 number, since 2×105362909² = 22202685185884562, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen 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 (105362969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52681454 + 52681455.

It is an arithmetic number, because the mean of its divisors is an integer number (52681455).

Almost surely, 2^105362909 is an apocalyptic number.

It is an amenable number.

105362909 is a deficient number, since it is larger than the sum of its proper divisors (1).

105362909 is an equidigital number, since it uses as much as digits as its factorization.

105362909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 105362909 is about 10264.6436372628. The cubic root of 105362909 is about 472.3122948234.

The spelling of 105362909 in words is "one hundred five million, three hundred sixty-two thousand, nine hundred nine".