105500222112 has 48 divisors (see below), whose sum is σ = 276955156800. Its totient is φ = 35164572672.

The previous prime is 105500222077. The next prime is 105500222129. The reversal of 105500222112 is 211222005501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105500222112² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2562264 + ... + 2603112.

It is an arithmetic number, because the mean of its divisors is an integer number (5769899100).

Almost surely, 2^105500222112 is an apocalyptic number.

105500222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105500222112 is an abundant number, since it is smaller than the sum of its proper divisors (171454934688).

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

105500222112 is a wasteful number, since it uses less digits than its factorization.

105500222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67765 (or 67757 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 105500222112 its reverse (211222005501), we get a palindrome (316722227613).

The spelling of 105500222112 in words is "one hundred five billion, five hundred million, two hundred twenty-two thousand, one hundred twelve".