820104107220 has 72 divisors (see below), whose sum is σ = 2545501454496. Its totient is φ = 213608509632.

The previous prime is 820104107191. The next prime is 820104107243. The reversal of 820104107220 is 22701401028.

820104107220 is a `hidden beast` number, since 8 + 20 + 1 + 0 + 410 + 7 + 220 = 666.

820104107220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820104107220² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52970562 + ... + 52986041.

It is an arithmetic number, because the mean of its divisors is an integer number (35354186868).

Almost surely, 2^820104107220 is an apocalyptic number.

It is an amenable number.

820104107220 is an abundant number, since it is smaller than the sum of its proper divisors (1725397347276).

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

820104107220 is a wasteful number, since it uses less digits than its factorization.

820104107220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105956661 (or 105956656 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 820104107220 its reverse (22701401028), we get a palindrome (842805508248).

The spelling of 820104107220 in words is "eight hundred twenty billion, one hundred four million, one hundred seven thousand, two hundred twenty".