It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 97 109 is not a prime number.
For example, 97 109 can be divided by 19: 97 109 / 19 = 5 111.
For 97 109 to be a prime number, it would have been required that 97 109 has only two divisors, i.e., itself and 1.
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97 109 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 97 109 is about 311.623.
Thus, the square root of 97 109 is not an integer, and therefore 97 109 is not a square number.
The square of a number (here 97 109) is the result of the product of this number (97 109) by itself (i.e., 97 109 × 97 109); the square of 97 109 is sometimes called "raising 97 109 to the power 2", or "97 109 squared".
The square of 97 109 is 9 430 157 881 because 97 109 × 97 109 = 97 1092 = 9 430 157 881.
As a consequence, 97 109 is the square root of 9 430 157 881.
The multiples of 97 109 are all integers evenly divisible by 97 109, that is all numbers such that the remainder of the division by 97 109 is zero. There are infinitely many multiples of 97 109. The smallest multiples of 97 109 are: