110072270336 has 120 divisors (see below), whose sum is σ = 256356147960. Its totient is φ = 47078019072.

The previous prime is 110072270303. The next prime is 110072270381. The reversal of 110072270336 is 633072270011.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13116830 + ... + 13125218.

It is an arithmetic number, because the mean of its divisors is an integer number (2136301233).

Almost surely, 2^110072270336 is an apocalyptic number.

110072270336 is a gapful number since it is divisible by the number (16) 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 110072270336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128178073980).

110072270336 is an abundant number, since it is smaller than the sum of its proper divisors (146283877624).

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

110072270336 is an frugal number, since it uses more digits than its factorization.

110072270336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8944 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 110072270336 in words is "one hundred ten billion, seventy-two million, two hundred seventy thousand, three hundred thirty-six".