Is 100137 a prime number?

100 137 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 100 137 is about 316.444.

Thus, the square root of 100 137 is not an integer, and therefore 100 137 is not a square number.

The square of a number (here 100 137) is the result of the product of this number (100 137) by itself (i.e., 100 137 × 100 137); the square of 100 137 is sometimes called "raising 100 137 to the power 2", or "100 137 squared".

The square of 100 137 is 10 027 418 769 because 100 137 × 100 137 = 100 137² = 10 027 418 769.

As a consequence, 100 137 is the square root of 10 027 418 769.

100 137 is a number with 6 digits.

The multiples of 100 137 are all integers evenly divisible by 100 137, that is all numbers such that the remainder of the division by 100 137 is zero. There are infinitely many multiples of 100 137. The smallest multiples of 100 137 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 100 137 too, since 0 × 100 137 = 0
• 100 137: indeed, 100 137 is a multiple of itself, since 100 137 is evenly divisible by 100 137 (we have 100 137 / 100 137 = 1, so the remainder of this division is indeed zero)
• 200 274: indeed, 200 274 = 100 137 × 2
• 300 411: indeed, 300 411 = 100 137 × 3
• 400 548: indeed, 400 548 = 100 137 × 4
• 500 685: indeed, 500 685 = 100 137 × 5
• etc.

• Preceding numbers: …100 135, 100 136
• Following numbers: 100 138, 100 139…

Nearest numbers from 100 137

• Preceding prime number: 100 129
• Following prime number: 100 151

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• 100 137 est-il un nombre premier ?