Is 107137 a prime number?

107 137 is an odd number, because it is not evenly divisible by 2.

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• What is an even number?

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 107 137 is about 327.318.

Thus, the square root of 107 137 is not an integer, and therefore 107 137 is not a square number.

Anyway, 107 137 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 107 137) is the result of the product of this number (107 137) by itself (i.e., 107 137 × 107 137); the square of 107 137 is sometimes called "raising 107 137 to the power 2", or "107 137 squared".

The square of 107 137 is 11 478 336 769 because 107 137 × 107 137 = 107 137² = 11 478 336 769.

As a consequence, 107 137 is the square root of 11 478 336 769.

107 137 is a number with 6 digits.

The multiples of 107 137 are all integers evenly divisible by 107 137, that is all numbers such that the remainder of the division by 107 137 is zero. There are infinitely many multiples of 107 137. The smallest multiples of 107 137 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 107 137 too, since 0 × 107 137 = 0
• 107 137: indeed, 107 137 is a multiple of itself, since 107 137 is evenly divisible by 107 137 (we have 107 137 / 107 137 = 1, so the remainder of this division is indeed zero)
• 214 274: indeed, 214 274 = 107 137 × 2
• 321 411: indeed, 321 411 = 107 137 × 3
• 428 548: indeed, 428 548 = 107 137 × 4
• 535 685: indeed, 535 685 = 107 137 × 5
• etc.

• Preceding numbers: …107 135, 107 136
• Following numbers: 107 138, 107 139…

Nearest numbers from 107 137

• Preceding prime number: 107 123
• Following prime number: 107 171

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• 107 137 est-il un nombre premier ?