It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 108 097 is not a prime number.
For example, 108 097 can be divided by 11: 108 097 / 11 = 9 827.
For 108 097 to be a prime number, it would have been required that 108 097 has only two divisors, i.e., itself and 1.
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108 097 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 108 097 is about 328.781.
Thus, the square root of 108 097 is not an integer, and therefore 108 097 is not a square number.
The square of a number (here 108 097) is the result of the product of this number (108 097) by itself (i.e., 108 097 × 108 097); the square of 108 097 is sometimes called "raising 108 097 to the power 2", or "108 097 squared".
The square of 108 097 is 11 684 961 409 because 108 097 × 108 097 = 108 0972 = 11 684 961 409.
As a consequence, 108 097 is the square root of 11 684 961 409.
The multiples of 108 097 are all integers evenly divisible by 108 097, that is all numbers such that the remainder of the division by 108 097 is zero. There are infinitely many multiples of 108 097. The smallest multiples of 108 097 are: