110080512 has 80 divisors (see below), whose sum is σ = 325886880. Its totient is φ = 36688896.

The previous prime is 110080499. The next prime is 110080519. The reversal of 110080512 is 215080011.

It is a super-3 number, since 3×110080512³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110080519) 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 7 ways as a sum of consecutive naturals, for example, 9843 + ... + 17805.

It is an arithmetic number, because the mean of its divisors is an integer number (4073586).

Almost surely, 2^110080512 is an apocalyptic number.

110080512 is a gapful number since it is divisible by the number (12) 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 110080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162943440).

110080512 is an abundant number, since it is smaller than the sum of its proper divisors (215806368).

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

110080512 is an frugal number, since it uses more digits than its factorization.

110080512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 110080512 is about 10491.9260386261. The cubic root of 110080512 is about 479.2588562263.

It can be divided in two parts, 110080 and 512, that added together give a cube (110592 = 48³).

The spelling of 110080512 in words is "one hundred ten million, eighty thousand, five hundred twelve".