82104120 has 192 divisors, whose sum is σ = 315095040. Its totient is φ = 18144000.

The previous prime is 82104107. The next prime is 82104131. The reversal of 82104120 is 2140128.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 82104093 and 82104102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77595 + ... + 78645.

It is an arithmetic number, because the mean of its divisors is an integer number (1641120).

Almost surely, 2^82104120 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 82104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157547520).

82104120 is an abundant number, since it is smaller than the sum of its proper divisors (232990920).

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

82104120 is a wasteful number, since it uses less digits than its factorization.

82104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 82104120 is about 9061.1323795649. The cubic root of 82104120 is about 434.6319518656.

Adding to 82104120 its reverse (2140128), we get a palindrome (84244248).

The spelling of 82104120 in words is "eighty-two million, one hundred four thousand, one hundred twenty".