105120502220 has 48 divisors (see below), whose sum is σ = 221385981600. Its totient is φ = 41927800320.

The previous prime is 105120502219. The next prime is 105120502241. The reversal of 105120502220 is 22205021501.

It is a happy number.

It is a super-2 number, since 2×105120502220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105120502192 and 105120502201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13118015 + ... + 13126025.

It is an arithmetic number, because the mean of its divisors is an integer number (4612207950).

Almost surely, 2^105120502220 is an apocalyptic number.

105120502220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105120502220 is an abundant number, since it is smaller than the sum of its proper divisors (116265479380).

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

105120502220 is a wasteful number, since it uses less digits than its factorization.

105120502220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818 (or 9816 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 105120502220 its reverse (22205021501), we get a palindrome (127325523721).

The spelling of 105120502220 in words is "one hundred five billion, one hundred twenty million, five hundred two thousand, two hundred twenty".