110014080160 has 96 divisors (see below), whose sum is σ = 275650098192. Its totient is φ = 41348874240.

The previous prime is 110014080151. The next prime is 110014080161. The reversal of 110014080160 is 61080410011.

It can be written as a sum of positive squares in 8 ways, for example, as 41246360464 + 68767719696 = 203092^2 + 262236^2 .

It is not an unprimeable number, because it can be changed into a prime (110014080161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1634370 + ... + 1700350.

Almost surely, 2^110014080160 is an apocalyptic number.

110014080160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110014080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137825049096).

110014080160 is an abundant number, since it is smaller than the sum of its proper divisors (165636018032).

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

110014080160 is a wasteful number, since it uses less digits than its factorization.

110014080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66626 (or 66618 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 110014080160 its reverse (61080410011), we get a palindrome (171094490171).

The spelling of 110014080160 in words is "one hundred ten billion, fourteen million, eighty thousand, one hundred sixty".