110705107968 has 528 divisors, whose sum is σ = 408080749440. Its totient is φ = 29190979584.

The previous prime is 110705107967. The next prime is 110705107991. The reversal of 110705107968 is 869701507011.

110705107968 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 0 + 510 + 79 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110705107967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22641268 + ... + 22646156.

Almost surely, 2^110705107968 is an apocalyptic number.

110705107968 is a gapful number since it is divisible by the number (18) 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 110705107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204040374720).

110705107968 is an abundant number, since it is smaller than the sum of its proper divisors (297375641472).

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

110705107968 is an equidigital number, since it uses as much as digits as its factorization.

110705107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 110705107968 in words is "one hundred ten billion, seven hundred five million, one hundred seven thousand, nine hundred sixty-eight".