It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 106 709 is not a prime number.
For example, 106 709 can be divided by 17: 106 709 / 17 = 6 277.
For 106 709 to be a prime number, it would have been required that 106 709 has only two divisors, i.e., itself and 1.
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106 709 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 106 709 is about 326.663.
Thus, the square root of 106 709 is not an integer, and therefore 106 709 is not a square number.
The square of a number (here 106 709) is the result of the product of this number (106 709) by itself (i.e., 106 709 × 106 709); the square of 106 709 is sometimes called "raising 106 709 to the power 2", or "106 709 squared".
The square of 106 709 is 11 386 810 681 because 106 709 × 106 709 = 106 7092 = 11 386 810 681.
As a consequence, 106 709 is the square root of 11 386 810 681.
The multiples of 106 709 are all integers evenly divisible by 106 709, that is all numbers such that the remainder of the division by 106 709 is zero. There are infinitely many multiples of 106 709. The smallest multiples of 106 709 are: