110092789971072 has 96 divisors (see below), whose sum is σ = 317535120318780. Its totient is φ = 36612844535808.

The previous prime is 110092789971029. The next prime is 110092789971077. The reversal of 110092789971072 is 270179987290011.

It can be written as a sum of positive squares in 2 ways, for example, as 83414903846976 + 26677886124096 = 9133176^2 + 5165064^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×110092789971072³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (110092789971077) 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, 109855293 + ... + 110852924.

Almost surely, 2^{110092789971072} is an apocalyptic number.

110092789971072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110092789971072 is an abundant number, since it is smaller than the sum of its proper divisors (207442330347708).

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

110092789971072 is a wasteful number, since it uses less digits than its factorization.

110092789971072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220708670 (or 220708655 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 63.

The spelling of 110092789971072 in words is "one hundred ten trillion, ninety-two billion, seven hundred eighty-nine million, nine hundred seventy-one thousand, seventy-two".