It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 107 009 is not a prime number.
For example, 107 009 can be divided by 7: 107 009 / 7 = 15 287.
For 107 009 to be a prime number, it would have been required that 107 009 has only two divisors, i.e., itself and 1.
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107 009 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 107 009 is about 327.122.
Thus, the square root of 107 009 is not an integer, and therefore 107 009 is not a square number.
The square of a number (here 107 009) is the result of the product of this number (107 009) by itself (i.e., 107 009 × 107 009); the square of 107 009 is sometimes called "raising 107 009 to the power 2", or "107 009 squared".
The square of 107 009 is 11 450 926 081 because 107 009 × 107 009 = 107 0092 = 11 450 926 081.
As a consequence, 107 009 is the square root of 11 450 926 081.
The multiples of 107 009 are all integers evenly divisible by 107 009, that is all numbers such that the remainder of the division by 107 009 is zero. There are infinitely many multiples of 107 009. The smallest multiples of 107 009 are: