110006116660 has 36 divisors (see below), whose sum is σ = 253923215364. Its totient is φ = 40002223360.

The previous prime is 110006116657. The next prime is 110006116699. The reversal of 110006116660 is 66611600011.

It can be written as a sum of positive squares in 2 ways, for example, as 30620800144 + 79385316516 = 174988^2 + 281754^2 .

It is a super-2 number, since 2×110006116660² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22726117 + ... + 22730956.

It is an arithmetic number, because the mean of its divisors is an integer number (7053422649).

Almost surely, 2^110006116660 is an apocalyptic number.

110006116660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110006116660 is an abundant number, since it is smaller than the sum of its proper divisors (143917098704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110006116660 is a wasteful number, since it uses less digits than its factorization.

110006116660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45457104 (or 45457091 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

Adding to 110006116660 its reverse (66611600011), we get a palindrome (176617716671).

The spelling of 110006116660 in words is "one hundred ten billion, six million, one hundred sixteen thousand, six hundred sixty".