It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 108 738 is not a prime number.
For example, 108 738 can be divided by 2: 108 738 / 2 = 54 369.
For 108 738 to be a prime number, it would have been required that 108 738 has only two divisors, i.e., itself and 1.
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108 738 is an even number, because it is evenly divisible by 2: 108 738 / 2 = 54 369.
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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 108 738 is about 329.754.
Thus, the square root of 108 738 is not an integer, and therefore 108 738 is not a square number.
The square of a number (here 108 738) is the result of the product of this number (108 738) by itself (i.e., 108 738 × 108 738); the square of 108 738 is sometimes called "raising 108 738 to the power 2", or "108 738 squared".
The square of 108 738 is 11 823 952 644 because 108 738 × 108 738 = 108 7382 = 11 823 952 644.
As a consequence, 108 738 is the square root of 11 823 952 644.
The multiples of 108 738 are all integers evenly divisible by 108 738, that is all numbers such that the remainder of the division by 108 738 is zero. There are infinitely many multiples of 108 738. The smallest multiples of 108 738 are: