Is 100007 a prime number?

100 007 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 100 007 is about 316.239.

Thus, the square root of 100 007 is not an integer, and therefore 100 007 is not a square number.

The square of a number (here 100 007) is the result of the product of this number (100 007) by itself (i.e., 100 007 × 100 007); the square of 100 007 is sometimes called "raising 100 007 to the power 2", or "100 007 squared".

The square of 100 007 is 10 001 400 049 because 100 007 × 100 007 = 100 007² = 10 001 400 049.

As a consequence, 100 007 is the square root of 10 001 400 049.

100 007 is a number with 6 digits.

The multiples of 100 007 are all integers evenly divisible by 100 007, that is all numbers such that the remainder of the division by 100 007 is zero. There are infinitely many multiples of 100 007. The smallest multiples of 100 007 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 100 007 too, since 0 × 100 007 = 0
• 100 007: indeed, 100 007 is a multiple of itself, since 100 007 is evenly divisible by 100 007 (we have 100 007 / 100 007 = 1, so the remainder of this division is indeed zero)
• 200 014: indeed, 200 014 = 100 007 × 2
• 300 021: indeed, 300 021 = 100 007 × 3
• 400 028: indeed, 400 028 = 100 007 × 4
• 500 035: indeed, 500 035 = 100 007 × 5
• etc.

• Preceding numbers: …100 005, 100 006
• Following numbers: 100 008, 100 009…

Nearest numbers from 100 007

• Preceding prime number: 100 003
• Following prime number: 100 019