82104112 has 60 divisors (see below), whose sum is σ = 171279216. Its totient is φ = 38051200.

The previous prime is 82104107. The next prime is 82104131. The reversal of 82104112 is 21140128.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82104112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 812862 + ... + 812962.

Almost surely, 2^82104112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82104112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85639608).

82104112 is an abundant number, since it is smaller than the sum of its proper divisors (89175104).

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

82104112 is a wasteful number, since it uses less digits than its factorization.

82104112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 82104112 is about 9061.1319381190. The cubic root of 82104112 is about 434.6319377491.

The spelling of 82104112 in words is "eighty-two million, one hundred four thousand, one hundred twelve".