It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 108 397 is not a prime number.
For example, 108 397 can be divided by 61: 108 397 / 61 = 1 777.
For 108 397 to be a prime number, it would have been required that 108 397 has only two divisors, i.e., itself and 1.
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108 397 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 108 397 is about 329.237.
Thus, the square root of 108 397 is not an integer, and therefore 108 397 is not a square number.
The square of a number (here 108 397) is the result of the product of this number (108 397) by itself (i.e., 108 397 × 108 397); the square of 108 397 is sometimes called "raising 108 397 to the power 2", or "108 397 squared".
The square of 108 397 is 11 749 909 609 because 108 397 × 108 397 = 108 3972 = 11 749 909 609.
As a consequence, 108 397 is the square root of 11 749 909 609.
The multiples of 108 397 are all integers evenly divisible by 108 397, that is all numbers such that the remainder of the division by 108 397 is zero. There are infinitely many multiples of 108 397. The smallest multiples of 108 397 are: