It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 103 009 is not a prime number.
For example, 103 009 can be divided by 239: 103 009 / 239 = 431.
For 103 009 to be a prime number, it would have been required that 103 009 has only two divisors, i.e., itself and 1.
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103 009 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 103 009 is about 320.950.
Thus, the square root of 103 009 is not an integer, and therefore 103 009 is not a square number.
The square of a number (here 103 009) is the result of the product of this number (103 009) by itself (i.e., 103 009 × 103 009); the square of 103 009 is sometimes called "raising 103 009 to the power 2", or "103 009 squared".
The square of 103 009 is 10 610 854 081 because 103 009 × 103 009 = 103 0092 = 10 610 854 081.
As a consequence, 103 009 is the square root of 10 610 854 081.
The multiples of 103 009 are all integers evenly divisible by 103 009, that is all numbers such that the remainder of the division by 103 009 is zero. There are infinitely many multiples of 103 009. The smallest multiples of 103 009 are: