110110009 has 2 divisors, whose sum is σ = 110110010. Its totient is φ = 110110008.

The previous prime is 110109953. The next prime is 110110027. The reversal of 110110009 is 900011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106605625 + 3504384 = 10325^2 + 1872^2 .

It is an emirp because it is prime and its reverse (900011011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110110009 - 2⁹ = 110109497 is a prime.

It is not a weakly prime, because it can be changed into another prime (110110069) 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, 55055004 + 55055005.

It is an arithmetic number, because the mean of its divisors is an integer number (55055005).

Almost surely, 2^110110009 is an apocalyptic number.

It is an amenable number.

110110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110009 is an equidigital number, since it uses as much as digits as its factorization.

110110009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 110110009 is about 10493.3316444302. The cubic root of 110110009 is about 479.3016595519.

The spelling of 110110009 in words is "one hundred ten million, one hundred ten thousand, nine".