You should wear an N100 when you wear your gloves. Asbestos fibres can easily bypass an N95.
https://www.health.state.mn.us/communities/environment/asbes...
https://www.health.state.mn.us/communities/environment/asbes...
In the UK for non-licensed work (removing things like asbestos floor tiles which have low levels of asbestos that are bound in another substrate) you only need to wear the equivalent of an N95 mask.
N = doesn't prevent oil penetration
100 = 99.97% effective against pm2.5 infiltration (the hardest size to filter)