82105650128 has 40 divisors (see below), whose sum is σ = 160771079040. Its totient is φ = 40618206720.

The previous prime is 82105650103. The next prime is 82105650173.

82105650128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82105650091 and 82105650100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 648233 + ... + 764471.

It is an arithmetic number, because the mean of its divisors is an integer number (4019276976).

Almost surely, 2^82105650128 is an apocalyptic number.

It is an amenable number.

82105650128 is a deficient number, since it is larger than the sum of its proper divisors (78665428912).

82105650128 is a wasteful number, since it uses less digits than its factorization.

82105650128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116715 (or 116709 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The spelling of 82105650128 in words is "eighty-two billion, one hundred five million, six hundred fifty thousand, one hundred twenty-eight".