It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 102 743 is not a prime number.
For example, 102 743 can be divided by 127: 102 743 / 127 = 809.
For 102 743 to be a prime number, it would have been required that 102 743 has only two divisors, i.e., itself and 1.
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102 743 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 102 743 is about 320.535.
Thus, the square root of 102 743 is not an integer, and therefore 102 743 is not a square number.
The square of a number (here 102 743) is the result of the product of this number (102 743) by itself (i.e., 102 743 × 102 743); the square of 102 743 is sometimes called "raising 102 743 to the power 2", or "102 743 squared".
The square of 102 743 is 10 556 124 049 because 102 743 × 102 743 = 102 7432 = 10 556 124 049.
As a consequence, 102 743 is the square root of 10 556 124 049.
The multiples of 102 743 are all integers evenly divisible by 102 743, that is all numbers such that the remainder of the division by 102 743 is zero. There are infinitely many multiples of 102 743. The smallest multiples of 102 743 are: