It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 107 664 is not a prime number.
For example, 107 664 can be divided by 2: 107 664 / 2 = 53 832.
For 107 664 to be a prime number, it would have been required that 107 664 has only two divisors, i.e., itself and 1.
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107 664 is an even number, because it is evenly divisible by 2: 107 664 / 2 = 53 832.
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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 107 664 is about 328.122.
Thus, the square root of 107 664 is not an integer, and therefore 107 664 is not a square number.
The square of a number (here 107 664) is the result of the product of this number (107 664) by itself (i.e., 107 664 × 107 664); the square of 107 664 is sometimes called "raising 107 664 to the power 2", or "107 664 squared".
The square of 107 664 is 11 591 536 896 because 107 664 × 107 664 = 107 6642 = 11 591 536 896.
As a consequence, 107 664 is the square root of 11 591 536 896.
The multiples of 107 664 are all integers evenly divisible by 107 664, that is all numbers such that the remainder of the division by 107 664 is zero. There are infinitely many multiples of 107 664. The smallest multiples of 107 664 are: