Self-interacting dark matter has been suggested in order to overcome the di
fficulties of the cold dark matter model on galactic scales. We argue that
a scalar gauge singlet coupled to the Higgs boson, which could lead to an i
nvisibly decaying Higgs boson, is an interesting candidate for this self-in
teracting dark matter particle. We also present estimates on the abundance
of these particles today as well as the consequences to non-Newtonian force
s.