insensitive

adjective:showing or feeling no concern for the feelings of others; unfeeling
- It was insensitive of you to talk about his dead wife.
adjective:not affected or influenced; not easily changed
- The market proved insensitive to the news, and stock prices remained stable.
adjective:not aware of or able to respond to slight changes, signals, or influences
- The microphone was insensitive to quiet sounds, so it missed much of the whisper.
adjective:lacking the ability to feel or perceive sensations; numb
- She woke up with an insensitive arm after sleeping on it all night.