11105009 has 2 divisors, whose sum is σ = 11105010. Its totient is φ = 11105008.

The previous prime is 11104997. The next prime is 11105011. The reversal of 11105009 is 90050111.

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., 6265009 + 4840000 = 2503^2 + 2200^2 .

It is a cyclic number.

It is not a de Polignac number, because 11105009 - 2¹² = 11100913 is a prime.

Together with 11105011, 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 (11105089) 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, 5552504 + 5552505.

It is an arithmetic number, because the mean of its divisors is an integer number (5552505).

Almost surely, 2^11105009 is an apocalyptic number.

It is an amenable number.

11105009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11105009 is an equidigital number, since it uses as much as digits as its factorization.

11105009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 11105009 is about 3332.4178909615. The cubic root of 11105009 is about 223.1034596713.

The spelling of 11105009 in words is "eleven million, one hundred five thousand, nine".