It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 102 138 is not a prime number.
For example, 102 138 can be divided by 2: 102 138 / 2 = 51 069.
For 102 138 to be a prime number, it would have been required that 102 138 has only two divisors, i.e., itself and 1.
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102 138 is an even number, because it is evenly divisible by 2: 102 138 / 2 = 51 069.
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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 102 138 is about 319.590.
Thus, the square root of 102 138 is not an integer, and therefore 102 138 is not a square number.
The square of a number (here 102 138) is the result of the product of this number (102 138) by itself (i.e., 102 138 × 102 138); the square of 102 138 is sometimes called "raising 102 138 to the power 2", or "102 138 squared".
The square of 102 138 is 10 432 171 044 because 102 138 × 102 138 = 102 1382 = 10 432 171 044.
As a consequence, 102 138 is the square root of 10 432 171 044.
The multiples of 102 138 are all integers evenly divisible by 102 138, that is all numbers such that the remainder of the division by 102 138 is zero. There are infinitely many multiples of 102 138. The smallest multiples of 102 138 are: