It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 107 107 is not a prime number.
For example, 107 107 can be divided by 7: 107 107 / 7 = 15 301.
For 107 107 to be a prime number, it would have been required that 107 107 has only two divisors, i.e., itself and 1.
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107 107 is an odd number, because it is not evenly divisible by 2.
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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 107 107 is about 327.272.
Thus, the square root of 107 107 is not an integer, and therefore 107 107 is not a square number.
The square of a number (here 107 107) is the result of the product of this number (107 107) by itself (i.e., 107 107 × 107 107); the square of 107 107 is sometimes called "raising 107 107 to the power 2", or "107 107 squared".
The square of 107 107 is 11 471 909 449 because 107 107 × 107 107 = 107 1072 = 11 471 909 449.
As a consequence, 107 107 is the square root of 11 471 909 449.
The multiples of 107 107 are all integers evenly divisible by 107 107, that is all numbers such that the remainder of the division by 107 107 is zero. There are infinitely many multiples of 107 107. The smallest multiples of 107 107 are: