105611110600577 has 2 divisors, whose sum is σ = 105611110600578. Its totient is φ = 105611110600576.

The previous prime is 105611110600553. The next prime is 105611110600579. The reversal of 105611110600577 is 775006011116501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95274602678641 + 10336507921936 = 9760871^2 + 3215044^2 .

It is a cyclic number.

It is not a de Polignac number, because 105611110600577 - 2²⁰ = 105611109552001 is a prime.

It is a super-2 number, since 2×105611110600577² (a number of 29 digits) contains 22 as substring.

Together with 105611110600579, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105611110600579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52805555300288 + 52805555300289.

It is an arithmetic number, because the mean of its divisors is an integer number (52805555300289).

Almost surely, 2^{105611110600577} is an apocalyptic number.

It is an amenable number.

105611110600577 is a deficient number, since it is larger than the sum of its proper divisors (1).

105611110600577 is an equidigital number, since it uses as much as digits as its factorization.

105611110600577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 41.

The spelling of 105611110600577 in words is "one hundred five trillion, six hundred eleven billion, one hundred ten million, six hundred thousand, five hundred seventy-seven".