It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 125 109 is not a prime number.
For example, 125 109 can be divided by 3: 125 109 / 3 = 41 703.
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For 125 109 to be a prime number, it would have been required that 125 109 has only two divisors, i.e., itself and 1.
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125 109 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 125 109 is about 353.708.
Thus, the square root of 125 109 is not an integer, and therefore 125 109 is not a square number.
The square of a number (here 125 109) is the result of the product of this number (125 109) by itself (i.e., 125 109 × 125 109); the square of 125 109 is sometimes called "raising 125 109 to the power 2", or "125 109 squared".
The square of 125 109 is 15 652 261 881 because 125 109 × 125 109 = 125 1092 = 15 652 261 881.
As a consequence, 125 109 is the square root of 15 652 261 881.
The multiples of 125 109 are all integers evenly divisible by 125 109, that is all numbers such that the remainder of the division by 125 109 is zero. There are infinitely many multiples of 125 109. The smallest multiples of 125 109 are: