110434058112 has 256 divisors, whose sum is σ = 360100800000. Its totient is φ = 29891248128.

The previous prime is 110434058089. The next prime is 110434058149. The reversal of 110434058112 is 211850434011.

It is a self number, because there is not a number n which added to its sum of digits gives 110434058112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480464 + ... + 2524592.

It is an arithmetic number, because the mean of its divisors is an integer number (1406643750).

Almost surely, 2^110434058112 is an apocalyptic number.

110434058112 is a gapful number since it is divisible by the number (12) 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 110434058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180050400000).

110434058112 is an abundant number, since it is smaller than the sum of its proper divisors (249666741888).

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

110434058112 is an equidigital number, since it uses as much as digits as its factorization.

110434058112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44186 (or 44160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 110434058112 in words is "one hundred ten billion, four hundred thirty-four million, fifty-eight thousand, one hundred twelve".