The quality or state of being disagreeable; the degree to which something is unpleasant, offensive, or difficult to deal with.
From disagreeable + -ity (suffix forming abstract nouns from adjectives). Emerged in English usage around the 17th century as a psychological and philosophical term.
Disagreeability is officially how personality psychologists measure whether someone is argumentative, hostile, and uncooperative—it's literally a measured trait that predicts relationship success better than intelligence does.
Complete word intelligence in one call. Free tier — 50 lookups/day.