110116561 has 2 divisors, whose sum is σ = 110116562. Its totient is φ = 110116560.

The previous prime is 110116547. The next prime is 110116583. The reversal of 110116561 is 165611011.

It is an a-pointer prime, because the next prime (110116583) can be obtained adding 110116561 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94945536 + 15171025 = 9744^2 + 3895^2 .

It is a cyclic number.

It is not a de Polignac number, because 110116561 - 2¹¹ = 110114513 is a prime.

It is not a weakly prime, because it can be changed into another prime (110116511) 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, 55058280 + 55058281.

It is an arithmetic number, because the mean of its divisors is an integer number (55058281).

Almost surely, 2^110116561 is an apocalyptic number.

It is an amenable number.

110116561 is a deficient number, since it is larger than the sum of its proper divisors (1).

110116561 is an equidigital number, since it uses as much as digits as its factorization.

110116561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 110116561 is about 10493.6438380574. The cubic root of 110116561 is about 479.3111661723.

Adding to 110116561 its reverse (165611011), we get a palindrome (275727572).

The spelling of 110116561 in words is "one hundred ten million, one hundred sixteen thousand, five hundred sixty-one".