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By adding whatever you mean with "integers of a number".
No. A mean is another word for average. Can be negative, positive, or zero. As long as it adds 2 or more integers and divides it by the number of integers.
An integer is any positive or negative whole number
"Whole number" may refer to an integer, or it may refer to a POSITIVE integer. Because of this ambiguity in the definition, it is preferable to talk about integers, positive integers, or non-negative integers, depending on what you mean.
All positive integers are all greater than negative integers.