Java - Check if input is a positive integer, negative integer, natural number and so on.

If you really have to avoid operators then use Math.signum()

Returns the signum function of the argument; zero if the argument is zero, 1.0 if the argument is greater than zero, -1.0 if the argument is less than zero.

EDIT : As per the comments, this works for only double and float values. For integer values you can use the method:

Integer.signum(int i)

What about using the following:

int number = input.nextInt();
if (number < 0) {
    // negative
} else {
   // it's a positive
}

(You should you as Else-If statement to check the for the three different state (positive, negative, 0)

Here is a simple example (excludes the possibility of non-integer values)

  import java.util.Scanner;

  public class Compare {

   public static void main(String[] args) { 

    Scanner input = new Scanner(System.in);

    System.out.print("Enter a number: ");
    int number = input.nextInt();

    if( number == 0)
    { System.out.println("Number is equal to zero"); }
    else if (number > 0)
    { System.out.println("Number is positive"); }
    else 
    { System.out.println("Number is negative"); }


  }
 }