110128720 has 80 divisors (see below), whose sum is σ = 292012560. Its totient is φ = 38264832.

The previous prime is 110128691. The next prime is 110128723. The reversal of 110128720 is 27821011.

It can be written as a sum of positive squares in 8 ways, for example, as 1468944 + 108659776 = 1212^2 + 10424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 110128691 and 110128700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110128723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14566 + ... + 20794.

It is an arithmetic number, because the mean of its divisors is an integer number (3650157).

Almost surely, 2^110128720 is an apocalyptic number.

110128720 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 110128720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146006280).

110128720 is an abundant number, since it is smaller than the sum of its proper divisors (181883840).

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

110128720 is a wasteful number, since it uses less digits than its factorization.

110128720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 110128720 is about 10494.2231727746. The cubic root of 110128720 is about 479.3288072668.

Adding to 110128720 its reverse (27821011), we get a palindrome (137949731).

The spelling of 110128720 in words is "one hundred ten million, one hundred twenty-eight thousand, seven hundred twenty".