It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 108 509 is not a prime number.
For example, 108 509 can be divided by 19: 108 509 / 19 = 5 711.
For 108 509 to be a prime number, it would have been required that 108 509 has only two divisors, i.e., itself and 1.
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108 509 is an odd number, because it is not evenly divisible by 2.
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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 108 509 is about 329.407.
Thus, the square root of 108 509 is not an integer, and therefore 108 509 is not a square number.
The square of a number (here 108 509) is the result of the product of this number (108 509) by itself (i.e., 108 509 × 108 509); the square of 108 509 is sometimes called "raising 108 509 to the power 2", or "108 509 squared".
The square of 108 509 is 11 774 203 081 because 108 509 × 108 509 = 108 5092 = 11 774 203 081.
As a consequence, 108 509 is the square root of 11 774 203 081.
The multiples of 108 509 are all integers evenly divisible by 108 509, that is all numbers such that the remainder of the division by 108 509 is zero. There are infinitely many multiples of 108 509. The smallest multiples of 108 509 are: