110772810330 has 128 divisors (see below), whose sum is σ = 327335855616. Its totient is φ = 23362560000.

The previous prime is 110772810329. The next prime is 110772810361. The reversal of 110772810330 is 33018277011.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 110772810291 and 110772810300.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8513830 + ... + 8526830.

It is an arithmetic number, because the mean of its divisors is an integer number (2557311372).

Almost surely, 2^110772810330 is an apocalyptic number.

110772810330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110772810330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163667927808).

110772810330 is an abundant number, since it is smaller than the sum of its proper divisors (216563045286).

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

110772810330 is a wasteful number, since it uses less digits than its factorization.

110772810330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16152.

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 110772810330 in words is "one hundred ten billion, seven hundred seventy-two million, eight hundred ten thousand, three hundred thirty".