It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 106 137 is not a prime number.
For example, 106 137 can be divided by 3: 106 137 / 3 = 35 379.
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For 106 137 to be a prime number, it would have been required that 106 137 has only two divisors, i.e., itself and 1.
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106 137 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 106 137 is about 325.787.
Thus, the square root of 106 137 is not an integer, and therefore 106 137 is not a square number.
The square of a number (here 106 137) is the result of the product of this number (106 137) by itself (i.e., 106 137 × 106 137); the square of 106 137 is sometimes called "raising 106 137 to the power 2", or "106 137 squared".
The square of 106 137 is 11 265 062 769 because 106 137 × 106 137 = 106 1372 = 11 265 062 769.
As a consequence, 106 137 is the square root of 11 265 062 769.
The multiples of 106 137 are all integers evenly divisible by 106 137, that is all numbers such that the remainder of the division by 106 137 is zero. There are infinitely many multiples of 106 137. The smallest multiples of 106 137 are: