105220502120 has 32 divisors (see below), whose sum is σ = 247039441920. Its totient is φ = 40258278720.

The previous prime is 105220502111. The next prime is 105220502197. The reversal of 105220502120 is 21205022501.

It is a happy number.

It is a super-2 number, since 2×105220502120² (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 = 105220502092 and 105220502101.

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 7 ways as a sum of consecutive naturals, for example, 57184136 + ... + 57185975.

It is an arithmetic number, because the mean of its divisors is an integer number (7719982560).

Almost surely, 2^105220502120 is an apocalyptic number.

105220502120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105220502120 is an abundant number, since it is smaller than the sum of its proper divisors (141818939800).

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

105220502120 is a wasteful number, since it uses less digits than its factorization.

105220502120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114370145 (or 114370141 counting only the distinct ones).

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

Adding to 105220502120 its reverse (21205022501), we get a palindrome (126425524621).

The spelling of 105220502120 in words is "one hundred five billion, two hundred twenty million, five hundred two thousand, one hundred twenty".