110208 has 64 divisors (see below), whose sum is σ = 342720. Its totient is φ = 30720.

The previous prime is 110183. The next prime is 110221. The reversal of 110208 is 802011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110193 and 110202.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110208.

It is an unprimeable number.

110208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2668 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2¹¹⁰²⁰⁸ is an apocalyptic number.

110208 is the 192-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360).

110208 is an abundant number, since it is smaller than the sum of its proper divisors (232512).

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

110208 is an equidigital number, since it uses as much as digits as its factorization.

110208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 110208 is about 331.9759027399. The cubic root of 110208 is about 47.9443800197.

Adding to 110208 its product of nonzero digits (16), we get a square (110224 = 332²).

Adding to 110208 its reverse (802011), we get a palindrome (912219).

The spelling of 110208 in words is "one hundred ten thousand, two hundred eight".