It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 108 508 is not a prime number.
For example, 108 508 can be divided by 2: 108 508 / 2 = 54 254.
For 108 508 to be a prime number, it would have been required that 108 508 has only two divisors, i.e., itself and 1.
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108 508 is an even number, because it is evenly divisible by 2: 108 508 / 2 = 54 254.
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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 108 508 is about 329.406.
Thus, the square root of 108 508 is not an integer, and therefore 108 508 is not a square number.
The square of a number (here 108 508) is the result of the product of this number (108 508) by itself (i.e., 108 508 × 108 508); the square of 108 508 is sometimes called "raising 108 508 to the power 2", or "108 508 squared".
The square of 108 508 is 11 773 986 064 because 108 508 × 108 508 = 108 5082 = 11 773 986 064.
As a consequence, 108 508 is the square root of 11 773 986 064.
The multiples of 108 508 are all integers evenly divisible by 108 508, that is all numbers such that the remainder of the division by 108 508 is zero. There are infinitely many multiples of 108 508. The smallest multiples of 108 508 are: