110311680 has 144 divisors (see below), whose sum is σ = 367920000. Its totient is φ = 28114944.

The previous prime is 110311637. The next prime is 110311693. The reversal of 110311680 is 86113011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87696 + ... + 88944.

It is an arithmetic number, because the mean of its divisors is an integer number (2555000).

Almost surely, 2^110311680 is an apocalyptic number.

110311680 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 110311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183960000).

110311680 is an abundant number, since it is smaller than the sum of its proper divisors (257608320).

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

110311680 is a wasteful number, since it uses less digits than its factorization.

110311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 110311680 is about 10502.9367321716. The cubic root of 110311680 is about 479.5941013042.

Adding to 110311680 its reverse (86113011), we get a palindrome (196424691).

The spelling of 110311680 in words is "one hundred ten million, three hundred eleven thousand, six hundred eighty".