The TAJD157K010H is a molded tantalum capacitor from the KYOCERA AVX TAJ series, offering 150 µF capacitance at 10 V rated voltage in the 2917 (7343 Metric) D-case package. The ±10% tolerance is the standard production grade for bulk decoupling and output filtering; the 900 mOhm ESR is the figure to check against your ripple current budget — at 150 µF, the self-heating from ripple current through that ESR determines the derating, not the capacitance value alone.
At 125°C the voltage derating curve from the datasheet applies; for a 10 V rated part, the safe working voltage at 125°C is typically 2/3 of rating, so budget 6.7 V max at the hot end.