Python pandas: how to obtain the datatypes of objects in a mixed-datatype column?

Given a pandas.DataFrame with a column holding mixed datatypes, like e.g.

df = pd.DataFrame({'mixed': [pd.Timestamp('2020-10-04'), 999, 'a string']})

I was wondering how to obtain the datatypes of the individual objects in the column (Series)? Suppose I want to modify all entries in the Series that are of a certain type, like multiply all integers by some factor.

I could iteratively derive a mask and use it in loc, like

m = np.array([isinstance(v, int) for v in df['mixed']])

df.loc[m, 'mixed'] *= 10

# df
#                  mixed
# 0  2020-10-04 00:00:00
# 1                 9990
# 2             a string

That does the trick but I was wondering if there was a more pandastic way of doing this?

from Python pandas: how to obtain the datatypes of objects in a mixed-datatype column?