It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 106 005 509 is not a prime number.
For example, 106 005 509 can be divided by 199: 106 005 509 / 199 = 532 691.
For 106 005 509 to be a prime number, it would have been required that 106 005 509 has only two divisors, i.e., itself and 1.
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106 005 509 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 106 005 509 is about 10 295.898.
Thus, the square root of 106 005 509 is not an integer, and therefore 106 005 509 is not a square number.
The square of a number (here 106 005 509) is the result of the product of this number (106 005 509) by itself (i.e., 106 005 509 × 106 005 509); the square of 106 005 509 is sometimes called "raising 106 005 509 to the power 2", or "106 005 509 squared".
The square of 106 005 509 is 11 237 167 938 349 080 because 106 005 509 × 106 005 509 = 106 005 5092 = 11 237 167 938 349 080.
As a consequence, 106 005 509 is the square root of 11 237 167 938 349 080.
106 005 509 is a number with 9 digits.
The multiples of 106 005 509 are all integers evenly divisible by 106 005 509, that is all numbers such that the remainder of the division by 106 005 509 is zero. There are infinitely many multiples of 106 005 509. The smallest multiples of 106 005 509 are: