105222051232512 has 72 divisors (see below), whose sum is σ = 294783268570560. Its totient is φ = 33228016174080.

The previous prime is 105222051232471. The next prime is 105222051232513. The reversal of 105222051232512 is 215232150222501.

It is a super-3 number, since 3×105222051232512³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105222051232513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3605455914 + ... + 3605485097.

It is an arithmetic number, because the mean of its divisors is an integer number (4094212063480).

Almost surely, 2^{105222051232512} is an apocalyptic number.

105222051232512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105222051232512 is an abundant number, since it is smaller than the sum of its proper divisors (189561217338048).

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

105222051232512 is an equidigital number, since it uses as much as digits as its factorization.

105222051232512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7210941049 (or 7210941035 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 105222051232512 in words is "one hundred five trillion, two hundred twenty-two billion, fifty-one million, two hundred thirty-two thousand, five hundred twelve".