110608 has 20 divisors (see below), whose sum is σ = 222208. Its totient is φ = 53280.

The previous prime is 110603. The next prime is 110609. The reversal of 110608 is 806011.

Subtracting from 110608 its sum of digits (16), we obtain a cube (110592 = 48^{3}).

Adding to 110608 its reverse (806011), we get a palindrome (916619).

It can be divided in two parts, 1 and 10608, that added together give a square (10609 = 103^{2}).

110608 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 110591 and 110600.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 110608.

It is not an unprimeable number, because it can be changed into a prime (110603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 385 + ... + 607.

2^{110608} 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 110608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111104).

110608 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

110608 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (110607) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (262).

110608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 110608 is about 332.5778104444. The cubic root of 110608 is about 48.0023147032.

The spelling of 110608 in words is "one hundred ten thousand, six hundred eight".

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