110083008 has 84 divisors (see below), whose sum is σ = 338843112. Its totient is φ = 31449600.

The previous prime is 110082997. The next prime is 110083013. The reversal of 110083008 is 800380011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3558 + ... + 15258.

Almost surely, 2^110083008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169421556).

110083008 is an abundant number, since it is smaller than the sum of its proper divisors (228760104).

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

110083008 is a wasteful number, since it uses less digits than its factorization.

110083008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11730 (or 11713 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 110083008 is about 10492.0449865601. The cubic root of 110083008 is about 479.2624784874.

The spelling of 110083008 in words is "one hundred ten million, eighty-three thousand, eight".