It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 10 108 is not a prime number.
For example, 10 108 can be divided by 2: 10 108 / 2 = 5 054.
For 10 108 to be a prime number, it would have been required that 10 108 has only two divisors, i.e., itself and 1.
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10 108 is an even number, because it is evenly divisible by 2: 10 108 / 2 = 5 054.
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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 10 108 is about 100.539.
Thus, the square root of 10 108 is not an integer, and therefore 10 108 is not a square number.
The square of a number (here 10 108) is the result of the product of this number (10 108) by itself (i.e., 10 108 × 10 108); the square of 10 108 is sometimes called "raising 10 108 to the power 2", or "10 108 squared".
The square of 10 108 is 102 171 664 because 10 108 × 10 108 = 10 1082 = 102 171 664.
As a consequence, 10 108 is the square root of 102 171 664.
The multiples of 10 108 are all integers evenly divisible by 10 108, that is all numbers such that the remainder of the division by 10 108 is zero. There are infinitely many multiples of 10 108. The smallest multiples of 10 108 are: