110468880 has 160 divisors (see below), whose sum is σ = 383904000. Its totient is φ = 29196288.

The previous prime is 110468843. The next prime is 110468887. The reversal of 110468880 is 88864011.

110468880 is a `hidden beast` number, since 110 + 468 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (110468887) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 429712 + ... + 429968.

It is an arithmetic number, because the mean of its divisors is an integer number (2399400).

Almost surely, 2^110468880 is an apocalyptic number.

110468880 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 110468880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191952000).

110468880 is an abundant number, since it is smaller than the sum of its proper divisors (273435120).

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

110468880 is a wasteful number, since it uses less digits than its factorization.

110468880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 110468880 is about 10510.4176891311. The cubic root of 110468880 is about 479.8218088580.

The spelling of 110468880 in words is "one hundred ten million, four hundred sixty-eight thousand, eight hundred eighty".