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Adjective: undecomposable  ,ún,dee-kum'pow-zu-bul
  1. Representing the furthest possible extent of analysis or division into parts
    "a feeling is a simple and undecomposable mental state";
    - unanalyzable [N. Amer], unanalysable [Brit, Cdn]

See also: simple

Nearest

undead
undecagon
undeceive
undeceived
undecidable
undecided
undecipherable
undecipherably
undeciphered
undeclared
undecomposable
undecomposed
undecorated
undecylenic acid
undedicated
undefeatable
undefeated
undefendable
undefended
undeferential
undefiled