110442114304 has 36 divisors (see below), whose sum is σ = 224066826340. Its totient is φ = 54315786240.

The previous prime is 110442114271. The next prime is 110442114317. The reversal of 110442114304 is 403411244011.

110442114304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3873817600 + 106568296704 = 62240^2 + 326448^2 .

It is a super-2 number, since 2×110442114304² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3520569 + ... + 3551800.

Almost surely, 2^110442114304 is an apocalyptic number.

It is an amenable number.

110442114304 is an abundant number, since it is smaller than the sum of its proper divisors (113624712036).

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

110442114304 is an frugal number, since it uses more digits than its factorization.

110442114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072446 (or 7072432 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 110442114304 its reverse (403411244011), we get a palindrome (513853358315).

The spelling of 110442114304 in words is "one hundred ten billion, four hundred forty-two million, one hundred fourteen thousand, three hundred four".