It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 108 108 is not a prime number.
For example, 108 108 can be divided by 2: 108 108 / 2 = 54 054.
For 108 108 to be a prime number, it would have been required that 108 108 has only two divisors, i.e., itself and 1.
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108 108 is an even number, because it is evenly divisible by 2: 108 108 / 2 = 54 054.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 108 108 is about 328.798.
Thus, the square root of 108 108 is not an integer, and therefore 108 108 is not a square number.
The square of a number (here 108 108) is the result of the product of this number (108 108) by itself (i.e., 108 108 × 108 108); the square of 108 108 is sometimes called "raising 108 108 to the power 2", or "108 108 squared".
The square of 108 108 is 11 687 339 664 because 108 108 × 108 108 = 108 1082 = 11 687 339 664.
As a consequence, 108 108 is the square root of 11 687 339 664.
The multiples of 108 108 are all integers evenly divisible by 108 108, that is all numbers such that the remainder of the division by 108 108 is zero. There are infinitely many multiples of 108 108. The smallest multiples of 108 108 are: