noun (n)

• the quality of being worthy of desiring(noun.attribute)

  Synonym:
  desirableness
  Antonym:
  undesirability
  

  source: wordnet30
• attractiveness to the opposite sex(noun.attribute)

  Synonym:
  desirableness, oomph, sex appeal
  

  source: wordnet30
• The state or quality of being desirable; desirableness.(noun)

  source: webster1913