There is no exact temperature documented to kill mold and its spores. In fact, there are conflicting reports as to whether heated air or freezing air even kills mold.
According to the National Association of Realtors, temperatures well above 100 degrees Fahrenheit will kill mold and mold spores. A conflicting report given by Sandra Nyberg of Stanford University in 1987, states that temperatures well below freezing will keep mold and mold spores dormant, but will not kill mold or the spores. Her account also reports that mold and mold spores exposed to heat and humidity thrive and grow more rapidly.