All numbers, positive, negative, and

0, that do not have decimal

components

The integer numbers are both positive, negative, include cero, and no number with decimal can fall into this category.

Explanation:

First of all, we need three different elements backing this answer but the most evident one is that the decimal numbers have to be excluded. Then we see that this type of number can be both positive and negative. So we are talking about integer numbers because they are the ones that fit this statement, if we had more categories of data we should have went into deeper analysis to distinguish the numbers we were talking about but this is the biggest category for this statement.