  Chargeless massive scalar fields are studied in the spacetime of Born-Infeld
dilaton black holes (BIDBHs). We first separate the massive covariant
Klein-Gordon equation into radial and angular parts and obtain the exact
solution of the radial equation in terms of the confluent Heun functions. Using
the obtained radial solution, we show how one gets the exact quasinormal modes
(QNMs) for some particular cases. We also solve the Klein-Gordon equation in
the spacetime of BIDBH with a cosmic string in which we point out the effect of
the conical deficit on the BIDBH. The analytical solutions of the radial and
angular parts are obtained in terms of the confluent Heun functions. Finally,
we study the quantization of the BIDBH. While doing this, we also discuss the
Hawking radiation in terms of the effective temperature.
