integer (n.) Look up integer at Dictionary.com
"a whole number" (opposed to fraction), 1570s, from Latin integer (adj.) "whole, complete," figuratively, "untainted, upright," literally "untouched," from in- "not" (see in- (1)) + root of tangere "to touch" (see tangent (adj.)). The word was used earlier in English as an adjective meaning "whole, entire" (c.1500).