Is 100000001 a prime number?

100 000 001 is an odd number, because it is not evenly divisible by 2.

Find out more:

• 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 100 000 001 is about 10 000.000.

Thus, the square root of 100 000 001 is not an integer, and therefore 100 000 001 is not a square number.

The square of a number (here 100 000 001) is the result of the product of this number (100 000 001) by itself (i.e., 100 000 001 × 100 000 001); the square of 100 000 001 is sometimes called "raising 100 000 001 to the power 2", or "100 000 001 squared".

The square of 100 000 001 is 10 000 000 200 000 000 because 100 000 001 × 100 000 001 = 100 000 001² = 10 000 000 200 000 000.

As a consequence, 100 000 001 is the square root of 10 000 000 200 000 000.

100 000 001 is a number with 9 digits.

The multiples of 100 000 001 are all integers evenly divisible by 100 000 001, that is all numbers such that the remainder of the division by 100 000 001 is zero. There are infinitely many multiples of 100 000 001. The smallest multiples of 100 000 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 100 000 001 too, since 0 × 100 000 001 = 0
• 100 000 001: indeed, 100 000 001 is a multiple of itself, since 100 000 001 is evenly divisible by 100 000 001 (we have 100 000 001 / 100 000 001 = 1, so the remainder of this division is indeed zero)
• 200 000 002: indeed, 200 000 002 = 100 000 001 × 2
• 300 000 003: indeed, 300 000 003 = 100 000 001 × 3
• 400 000 004: indeed, 400 000 004 = 100 000 001 × 4
• 500 000 005: indeed, 500 000 005 = 100 000 001 × 5
• etc.

• Preceding numbers: …99 999 999, 100 000 000
• Following numbers: 100 000 002, 100 000 003…

Nearest numbers from 100 000 001

• Preceding prime number: 99 999 989
• Following prime number: 100 000 007

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• 100 000 001 est-il un nombre premier ?