It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 678 108 is not a prime number.
For example, 678 108 can be divided by 2: 678 108 / 2 = 339 054.
For 678 108 to be a prime number, it would have been required that 678 108 has only two divisors, i.e., itself and 1.
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678 108 is an even number, because it is evenly divisible by 2: 678 108 / 2 = 339 054.
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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 678 108 is about 823.473.
Thus, the square root of 678 108 is not an integer, and therefore 678 108 is not a square number.
The square of a number (here 678 108) is the result of the product of this number (678 108) by itself (i.e., 678 108 × 678 108); the square of 678 108 is sometimes called "raising 678 108 to the power 2", or "678 108 squared".
The square of 678 108 is 459 830 459 664 because 678 108 × 678 108 = 678 1082 = 459 830 459 664.
As a consequence, 678 108 is the square root of 459 830 459 664.
The multiples of 678 108 are all integers evenly divisible by 678 108, that is all numbers such that the remainder of the division by 678 108 is zero. There are infinitely many multiples of 678 108. The smallest multiples of 678 108 are: