Is 10091 a prime number? What are the divisors of 10091?

## Is 10091 a prime number?

Yes, 10091 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 10091, the only two divisors are 1 and 10091. Therefore 10091 is a prime number.

As a consequence, 10091 is only a multiple of 1 and 10091.

Since 10091 is a prime number, 10091 is also a deficient number, that is to say 10091 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10091 without 10091 itself (that is 1, by definition!).

## Parity of 10091

10091 is an odd number, because it is not evenly divisible by 2.

## Is 10091 a perfect square 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 10091 is about 100.454.

Thus, the square root of 10091 is not an integer, and therefore 10091 is not a square number.

Anyway, 10091 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10091?

The square of a number (here 10091) is the result of the product of this number (10091) by itself (i.e., 10091 × 10091); the square of 10091 is sometimes called "raising 10091 to the power 2", or "10091 squared".

The square of 10091 is 101 828 281 because 10091 × 10091 = 100912 = 101 828 281.

As a consequence, 10091 is the square root of 101 828 281.

## Number of digits of 10091

10091 is a number with 5 digits.

## What are the multiples of 10091?

The multiples of 10091 are all integers evenly divisible by 10091, that is all numbers such that the remainder of the division by 10091 is zero. There are infinitely many multiples of 10091. The smallest multiples of 10091 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10091 too, since 0 × 10091 = 0
• 10091: indeed, 10091 is a multiple of itself, since 10091 is evenly divisible by 10091 (we have 10091 / 10091 = 1, so the remainder of this division is indeed zero)
• 20 182: indeed, 20 182 = 10091 × 2
• 30 273: indeed, 30 273 = 10091 × 3
• 40 364: indeed, 40 364 = 10091 × 4
• 50 455: indeed, 50 455 = 10091 × 5
• etc.

## Nearest numbers from 10091

Find out whether some integer is a prime number