110809080 has 256 divisors, whose sum is σ = 393984000. Its totient is φ = 27661824.

The previous prime is 110809079. The next prime is 110809081. The reversal of 110809080 is 80908011.

It is an interprime number because it is at equal distance from previous prime (110809079) and next prime (110809081).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110809081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1878091 + ... + 1878149.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 2^110809080 is an apocalyptic number.

110809080 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 110809080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

110809080 is an abundant number, since it is smaller than the sum of its proper divisors (283174920).

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

110809080 is a wasteful number, since it uses less digits than its factorization.

110809080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 110809080 is about 10526.5891911863. The cubic root of 110809080 is about 480.3138572337.

The spelling of 110809080 in words is "one hundred ten million, eight hundred nine thousand, eighty".