105605009 has 2 divisors, whose sum is σ = 105605010. Its totient is φ = 105605008.

The previous prime is 105604963. The next prime is 105605011. The reversal of 105605009 is 900506501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102070609 + 3534400 = 10103^2 + 1880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105605009 is a prime.

It is a super-2 number, since 2×105605009² = 22304835851780162, which contains 22 as substring.

Together with 105605011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105605069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52802504 + 52802505.

It is an arithmetic number, because the mean of its divisors is an integer number (52802505).

Almost surely, 2^105605009 is an apocalyptic number.

It is an amenable number.

105605009 is a deficient number, since it is larger than the sum of its proper divisors (1).

105605009 is an equidigital number, since it uses as much as digits as its factorization.

105605009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 105605009 is about 10276.4297788678. The cubic root of 105605009 is about 472.6737735079.

The spelling of 105605009 in words is "one hundred five million, six hundred five thousand, nine".