It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 106 138 is not a prime number.
For example, 106 138 can be divided by 2: 106 138 / 2 = 53 069.
For 106 138 to be a prime number, it would have been required that 106 138 has only two divisors, i.e., itself and 1.
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106 138 is an even number, because it is evenly divisible by 2: 106 138 / 2 = 53 069.
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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 106 138 is about 325.788.
Thus, the square root of 106 138 is not an integer, and therefore 106 138 is not a square number.
The square of a number (here 106 138) is the result of the product of this number (106 138) by itself (i.e., 106 138 × 106 138); the square of 106 138 is sometimes called "raising 106 138 to the power 2", or "106 138 squared".
The square of 106 138 is 11 265 275 044 because 106 138 × 106 138 = 106 1382 = 11 265 275 044.
As a consequence, 106 138 is the square root of 11 265 275 044.
The multiples of 106 138 are all integers evenly divisible by 106 138, that is all numbers such that the remainder of the division by 106 138 is zero. There are infinitely many multiples of 106 138. The smallest multiples of 106 138 are: