I don't trust this case. Not one bit.

@rich_villa I contacted his descendants, but they did not know much about him. After that, I contacted the registrar from the municipality of Babusnica, and he told me the information. He was born on  17 June, according to the old calendar, and on 30 June, according to the new calendar. The oldest record from his village is from the 1870s, these data are from the death register.

I inquired about him for a long time until I found out all the information. There are no original records nor is it necessary, these are the data listed in the death register from 1970...

@dejan are you saying that there are records from the 1870s supporting a birth in 1860? 

If not, then this case should be considered dubious. Age exaggeration is a phenomenon that's existed for centuries.

@930310 There are no records of his birth at all, (in general about his village Bogdanovac, is the oldest record from that village in the 1870s / unrelated to him).

He never had an ID card, nor did he ever leave the mountain village, nor did he have a pension.

The only thing that exists is an excerpt from the death register (possibly a wedding certificate). When he was born in that village, there was no register at all in which his birth could be registered.

So the first record of that village is from the 1870s (unrelated to it).

He was probably so old, because is it possible that in the country of 8 million inhabitants, there was not a single centenarian in the 20th century. Surely there are potential centenarians who, like him, have not been known so far. I respect what his descendants told me, who say that he was about 110 years old at the time of his death, but the data from the death register says this. 

In the 20th century in Serbia there were certainly a few more cases of people (106+), and perhaps supercentenarians, for now everything is unknown...

Adding a question mark to the year of birth, and adding the adjective 'claimed' to the opening post.