110083680 has 288 divisors, whose sum is σ = 438407424. Its totient is φ = 24634368.

The previous prime is 110083669. The next prime is 110083693. The reversal of 110083680 is 86380011.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675279 + ... + 675441.

It is an arithmetic number, because the mean of its divisors is an integer number (1522248).

Almost surely, 2^110083680 is an apocalyptic number.

110083680 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 110083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219203712).

110083680 is an abundant number, since it is smaller than the sum of its proper divisors (328323744).

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

110083680 is a wasteful number, since it uses less digits than its factorization.

110083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 110083680 is about 10492.0770107734. The cubic root of 110083680 is about 479.2634537022.

The spelling of 110083680 in words is "one hundred ten million, eighty-three thousand, six hundred eighty".