110085161 has 2 divisors, whose sum is σ = 110085162. Its totient is φ = 110085160.

The previous prime is 110085137. The next prime is 110085163. The reversal of 110085161 is 161580011.

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., 86862400 + 23222761 = 9320^2 + 4819^2 .

It is an emirp because it is prime and its reverse (161580011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110085161 - 2⁶ = 110085097 is a prime.

It is a Sophie Germain prime.

Together with 110085163, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (110085163) 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, 55042580 + 55042581.

It is an arithmetic number, because the mean of its divisors is an integer number (55042581).

Almost surely, 2^110085161 is an apocalyptic number.

It is an amenable number.

110085161 is a deficient number, since it is larger than the sum of its proper divisors (1).

110085161 is an equidigital number, since it uses as much as digits as its factorization.

110085161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 23.

The square root of 110085161 is about 10492.1475876009. The cubic root of 110085161 is about 479.2656029338.

The spelling of 110085161 in words is "one hundred ten million, eighty-five thousand, one hundred sixty-one".