Source : Webster's Revised Unabridged Dictionary (1913)

Sociality \So`ci*al"i*ty\, n. [Cf. F. socialist['e], L.
   socialitas.]
   The quality of being social; socialness.

Source : WordNet®

sociality
     n : the tendency to associate with others and to form social
         groups; "mammals as a class are not strong on sociality"