82105320 has 64 divisors (see below), whose sum is σ = 268712640. Its totient is φ = 19904000.

The previous prime is 82105319. The next prime is 82105399. The reversal of 82105320 is 2350128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29781 + ... + 32420.

It is an arithmetic number, because the mean of its divisors is an integer number (4198635).

Almost surely, 2^82105320 is an apocalyptic number.

It is an amenable number.

82105320 is an abundant number, since it is smaller than the sum of its proper divisors (186607320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82105320 is a wasteful number, since it uses less digits than its factorization.

82105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62226 (or 62222 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 82105320 is about 9061.1985962123. The cubic root of 82105320 is about 434.6340693225.

Adding to 82105320 its reverse (2350128), we get a palindrome (84455448).

It can be divided in two parts, 8210 and 5320, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 82105320 in words is "eighty-two million, one hundred five thousand, three hundred twenty".