Any amplifier will be amplifying tiny voltages or currents to something stronger, that's their job, if the frequencies of these fluctuations happen to end up in the frequency range the amplifier is sensitive to.
105 MHz is totally outside of the bandwidth of the TDA2822M (which really is a terrible amplifier IC and has been obsolete for the better part of 40 years, if you ever build an amplifier yourself, get something that's not from the 1970s).
However, intermodulation occurs on every nonlinear component. That's the principle that makes the crystal radio work, and the principle that allows your smart phone to communicate with wifi and 2G/3G/4G/5G base stations, no matter which of the bands they're using.
A diode is a nonlinear element. A transistor is one. The input stage of a totally terribly designed audio amplifier especially is one.
So, the FM carrier self-demodulates to baseband.
The strength of how much it does so depends on the sensitivity of your circuitry at picking up the frequency it has at any certain moment.
Your amplifier has something that inadvertedly acts as an antenna (ugly truth: everything is an antenna, and a lot of engineering time goes into making things bad antennas, so that they can go and also be something else, usefully).
That something seems to have a frequency selective behavior. For example, it is more susceptible to 104 MHz signals than to 106 MHz signals, with a nice falling slope of selectivity between these frequencies.
Tadah, a simple FM demodulator is born!
Therefore, this has nothing to do with your neighbor's electronics.
You just happen to have the cheapest thinkable speakers: No engineer will buy a TDA2822M these days, because they are simply worse in every thinkable aspect than other ICs, so the only reason was low price. That fits with the fact that they have been so cheaply designed that they pick up stuff at 105 MHz (literally in the band with the strongest interferers, where every self-respecting amplifier designer would have at least run a test to make sure this doesn't happen).
So, get a better amplifier. At this point, even the really cheap PAM8404 amplifiers will do better, and I've yet to see a single person mess up a PCB design so badly that they won't work.
The fact that it happens every couple of feet (sorry, you'll have to translate the freedom units to something metric, I don't know what that is; I think a feet is roughly 0.31 m?) is because indoors, you get such patterns in receive strength through constructively and destructively overlaying reflections, diffraction, refraction and through simple shadowing: Things like the steel bars in reinforced concrete, water pipes, electrical lines are very much spaced in the regions of wavelengths or below, so you get all kinds of nice wave phenomena that would make your physics teachers' eyes water.