Is 10061 a prime number? What are the divisors of 10061?

## Is 10061 a prime number?

Yes, 10061 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 10061, the only two divisors are 1 and 10061. Therefore 10061 is a prime number.

As a consequence, 10061 is only a multiple of 1 and 10061.

Since 10061 is a prime number, 10061 is also a deficient number, that is to say 10061 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10061 without 10061 itself (that is 1, by definition!).

## Parity of 10061

10061 is an odd number, because it is not evenly divisible by 2.

## Is 10061 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 10061 is about 100.305.

Thus, the square root of 10061 is not an integer, and therefore 10061 is not a square number.

Anyway, 10061 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10061?

The square of a number (here 10061) is the result of the product of this number (10061) by itself (i.e., 10061 × 10061); the square of 10061 is sometimes called "raising 10061 to the power 2", or "10061 squared".

The square of 10061 is 101 223 721 because 10061 × 10061 = 100612 = 101 223 721.

As a consequence, 10061 is the square root of 101 223 721.

## Number of digits of 10061

10061 is a number with 5 digits.

## What are the multiples of 10061?

The multiples of 10061 are all integers evenly divisible by 10061, that is all numbers such that the remainder of the division by 10061 is zero. There are infinitely many multiples of 10061. The smallest multiples of 10061 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10061 too, since 0 × 10061 = 0
• 10061: indeed, 10061 is a multiple of itself, since 10061 is evenly divisible by 10061 (we have 10061 / 10061 = 1, so the remainder of this division is indeed zero)
• 20 122: indeed, 20 122 = 10061 × 2
• 30 183: indeed, 30 183 = 10061 × 3
• 40 244: indeed, 40 244 = 10061 × 4
• 50 305: indeed, 50 305 = 10061 × 5
• etc.

## Nearest numbers from 10061

Find out whether some integer is a prime number