110113736320 has 128 divisors (see below), whose sum is σ = 301569609600. Its totient is φ = 37662535680.

The previous prime is 110113736311. The next prime is 110113736329. The reversal of 110113736320 is 23637311011.

It is an interprime number because it is at equal distance from previous prime (110113736311) and next prime (110113736329).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (110113736329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1847790 + ... + 1906450.

It is an arithmetic number, because the mean of its divisors is an integer number (2356012575).

Almost surely, 2^110113736320 is an apocalyptic number.

110113736320 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 110113736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150784804800).

110113736320 is an abundant number, since it is smaller than the sum of its proper divisors (191455873280).

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

110113736320 is an equidigital number, since it uses as much as digits as its factorization.

110113736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59106 (or 59094 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The spelling of 110113736320 in words is "one hundred ten billion, one hundred thirteen million, seven hundred thirty-six thousand, three hundred twenty".