It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 106 102 is not a prime number.
For example, 106 102 can be divided by 2: 106 102 / 2 = 53 051.
For 106 102 to be a prime number, it would have been required that 106 102 has only two divisors, i.e., itself and 1.
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106 102 is an even number, because it is evenly divisible by 2: 106 102 / 2 = 53 051.
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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 106 102 is about 325.733.
Thus, the square root of 106 102 is not an integer, and therefore 106 102 is not a square number.
The square of a number (here 106 102) is the result of the product of this number (106 102) by itself (i.e., 106 102 × 106 102); the square of 106 102 is sometimes called "raising 106 102 to the power 2", or "106 102 squared".
The square of 106 102 is 11 257 634 404 because 106 102 × 106 102 = 106 1022 = 11 257 634 404.
As a consequence, 106 102 is the square root of 11 257 634 404.
The multiples of 106 102 are all integers evenly divisible by 106 102, that is all numbers such that the remainder of the division by 106 102 is zero. There are infinitely many multiples of 106 102. The smallest multiples of 106 102 are: