110005666661 has 12 divisors (see below), whose sum is σ = 120998730636. Its totient is φ = 99936165120.

The previous prime is 110005666579. The next prime is 110005666691. The reversal of 110005666661 is 166666500011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 109234216036 + 771450625 = 330506^2 + 27775^2 .

It is a de Polignac number, because none of the positive numbers 2^k-110005666661 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110005666691) 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 in 11 ways as a sum of consecutive naturals, for example, 137036 + ... + 488661.

It is an arithmetic number, because the mean of its divisors is an integer number (10083227553).

Almost surely, 2^110005666661 is an apocalyptic number.

110005666661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110005666661 is a deficient number, since it is larger than the sum of its proper divisors (10993063975).

110005666661 is a wasteful number, since it uses less digits than its factorization.

110005666661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627172 (or 627161 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 110005666661 in words is "one hundred ten billion, five million, six hundred sixty-six thousand, six hundred sixty-one".