110085089 has 2 divisors, whose sum is σ = 110085090. Its totient is φ = 110085088.

The previous prime is 110085083. The next prime is 110085097. The reversal of 110085089 is 980580011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110082064 + 3025 = 10492^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 110085089 - 2²⁰ = 109036513 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (110085083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55042544 + 55042545.

It is an arithmetic number, because the mean of its divisors is an integer number (55042545).

Almost surely, 2^110085089 is an apocalyptic number.

It is an amenable number.

110085089 is a deficient number, since it is larger than the sum of its proper divisors (1).

110085089 is an equidigital number, since it uses as much as digits as its factorization.

110085089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 32.

The square root of 110085089 is about 10492.1441564630. The cubic root of 110085089 is about 479.2654984476.

The spelling of 110085089 in words is "one hundred ten million, eighty-five thousand, eighty-nine".