It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 107 is not a prime number.
For example, 421 107 can be divided by 3: 421 107 / 3 = 140 369.
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For 421 107 to be a prime number, it would have been required that 421 107 has only two divisors, i.e., itself and 1.
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421 107 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 421 107 is about 648.928.
Thus, the square root of 421 107 is not an integer, and therefore 421 107 is not a square number.
The square of a number (here 421 107) is the result of the product of this number (421 107) by itself (i.e., 421 107 × 421 107); the square of 421 107 is sometimes called "raising 421 107 to the power 2", or "421 107 squared".
The square of 421 107 is 177 331 105 449 because 421 107 × 421 107 = 421 1072 = 177 331 105 449.
As a consequence, 421 107 is the square root of 177 331 105 449.
The multiples of 421 107 are all integers evenly divisible by 421 107, that is all numbers such that the remainder of the division by 421 107 is zero. There are infinitely many multiples of 421 107. The smallest multiples of 421 107 are: