It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 107 138 is not a prime number.
For example, 107 138 can be divided by 2: 107 138 / 2 = 53 569.
For 107 138 to be a prime number, it would have been required that 107 138 has only two divisors, i.e., itself and 1.
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107 138 is an even number, because it is evenly divisible by 2: 107 138 / 2 = 53 569.
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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 107 138 is about 327.319.
Thus, the square root of 107 138 is not an integer, and therefore 107 138 is not a square number.
The square of a number (here 107 138) is the result of the product of this number (107 138) by itself (i.e., 107 138 × 107 138); the square of 107 138 is sometimes called "raising 107 138 to the power 2", or "107 138 squared".
The square of 107 138 is 11 478 551 044 because 107 138 × 107 138 = 107 1382 = 11 478 551 044.
As a consequence, 107 138 is the square root of 11 478 551 044.
The multiples of 107 138 are all integers evenly divisible by 107 138, that is all numbers such that the remainder of the division by 107 138 is zero. There are infinitely many multiples of 107 138. The smallest multiples of 107 138 are: