110000009 has 16 divisors (see below), whose sum is σ = 127896576. Its totient is φ = 92664000.

The previous prime is 109999993. The next prime is 110000017. The reversal of 110000009 is 900000011.

It is a cyclic number.

It is not a de Polignac number, because 110000009 - 2⁴ = 109999993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110000039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110504 + ... + 111494.

It is an arithmetic number, because the mean of its divisors is an integer number (7993536).

Almost surely, 2^110000009 is an apocalyptic number.

It is an amenable number.

110000009 is a deficient number, since it is larger than the sum of its proper divisors (17896567).

110000009 is a wasteful number, since it uses less digits than its factorization.

110000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 110000009 is about 10488.0889107597. The cubic root of 110000009 is about 479.1419987738.

The spelling of 110000009 in words is "one hundred ten million, nine", and thus it is an aban number.