  Dilatonic black hole dyon solutions with arbitrary dilatonic coupling
constant $\lambda \neq 0$ and canonical sign $\varepsilon = +1$ for scalar
field kynetic term are considered. These solutions are defined up to solutions
of two master equations for moduli funtions. For $\lambda^2 \neq 1/2$ the
solutions are extended to $\varepsilon = \pm 1$, where $\varepsilon = -1$
corresponds to ghost (phantom) scalar field. Some physical parameters of the
solutions: gravitational mass, scalar charge, Hawking temperature, black hole
area entropy and parametrized post-Newtonian (PPN) parameters $\beta$ and
$\gamma$ are obtained. It is shown that PPN parameters do not depend on scalar
field coupling $\lambda$ and $\varepsilon$. Two group of bounds on
gravitational mass and scalar charge (for fixed and arbitrary extremality
parameter $\mu >0$) are found by using a certain conjecture on parameters of
solutions when $1 +2 \lambda^2 \varepsilon > 0$. These bounds are verified
numerically for certain examples. By product we are led to well-known lower
bound on mass which was obtained earlier by Gibbons, Kastor, London, Townsend
and Traschen by using spinor techniques.
