It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 105 102 is not a prime number.
For example, 105 102 can be divided by 2: 105 102 / 2 = 52 551.
For 105 102 to be a prime number, it would have been required that 105 102 has only two divisors, i.e., itself and 1.
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105 102 is an even number, because it is evenly divisible by 2: 105 102 / 2 = 52 551.
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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 105 102 is about 324.194.
Thus, the square root of 105 102 is not an integer, and therefore 105 102 is not a square number.
The square of a number (here 105 102) is the result of the product of this number (105 102) by itself (i.e., 105 102 × 105 102); the square of 105 102 is sometimes called "raising 105 102 to the power 2", or "105 102 squared".
The square of 105 102 is 11 046 430 404 because 105 102 × 105 102 = 105 1022 = 11 046 430 404.
As a consequence, 105 102 is the square root of 11 046 430 404.
The multiples of 105 102 are all integers evenly divisible by 105 102, that is all numbers such that the remainder of the division by 105 102 is zero. There are infinitely many multiples of 105 102. The smallest multiples of 105 102 are: