Is 10091 a prime number?

10 091 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 10 091 is about 100.454.

Thus, the square root of 10 091 is not an integer, and therefore 10 091 is not a square number.

Anyway, 10 091 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 10 091) is the result of the product of this number (10 091) by itself (i.e., 10 091 × 10 091); the square of 10 091 is sometimes called "raising 10 091 to the power 2", or "10 091 squared".

The square of 10 091 is 101 828 281 because 10 091 × 10 091 = 10 091² = 101 828 281.

As a consequence, 10 091 is the square root of 101 828 281.

10 091 is a number with 5 digits.

The multiples of 10 091 are all integers evenly divisible by 10 091, that is all numbers such that the remainder of the division by 10 091 is zero. There are infinitely many multiples of 10 091. The smallest multiples of 10 091 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 091 too, since 0 × 10 091 = 0
• 10 091: indeed, 10 091 is a multiple of itself, since 10 091 is evenly divisible by 10 091 (we have 10 091 / 10 091 = 1, so the remainder of this division is indeed zero)
• 20 182: indeed, 20 182 = 10 091 × 2
• 30 273: indeed, 30 273 = 10 091 × 3
• 40 364: indeed, 40 364 = 10 091 × 4
• 50 455: indeed, 50 455 = 10 091 × 5
• etc.

• Preceding numbers: …10 089, 10 090
• Following numbers: 10 092, 10 093…

Nearest numbers from 10 091

• Preceding prime number: 10 079
• Following prime number: 10 093

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• 10 091 est-il un nombre premier ?