105225022120 has 32 divisors (see below), whose sum is σ = 237014006400. Its totient is φ = 42044194368.

The previous prime is 105225022051. The next prime is 105225022163. The reversal of 105225022120 is 21220522501.

It is a super-2 number, since 2×105225022120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105225022091 and 105225022100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1394484 + ... + 1468003.

It is an arithmetic number, because the mean of its divisors is an integer number (7406687700).

Almost surely, 2^105225022120 is an apocalyptic number.

105225022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105225022120 is an abundant number, since it is smaller than the sum of its proper divisors (131788984280).

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

105225022120 is a wasteful number, since it uses less digits than its factorization.

105225022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863417 (or 2863413 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 105225022120 its reverse (21220522501), we get a palindrome (126445544621).

The spelling of 105225022120 in words is "one hundred five billion, two hundred twenty-five million, twenty-two thousand, one hundred twenty".