110909 has 2 divisors, whose sum is σ = 110910. Its totient is φ = 110908.

The previous prime is 110899. The next prime is 110917. The reversal of 110909 is 909011.

110909 is nontrivially palindromic in base 11.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 7225 = 322^2 + 85^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110909 is a prime.

It is a Chen prime.

110909 is a modest number, since divided by 909 gives 11 as remainder.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55454 + 55455.

It is an arithmetic number, because the mean of its divisors is an integer number (55455).

2¹¹⁰⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

110909 is a deficient number, since it is larger than the sum of its proper divisors (1).

110909 is an equidigital number, since it uses as much as digits as its factorization.

110909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 110909 is about 333.0300286761. The cubic root of 110909 is about 48.0458185184.

Subtracting from 110909 its sum of digits (20), we obtain a square (110889 = 333²).

The spelling of 110909 in words is "one hundred ten thousand, nine hundred nine".