105532112205012 has 48 divisors (see below), whose sum is σ = 246290060419200. Its totient is φ = 35170447797888.

The previous prime is 105532112204993. The next prime is 105532112205049. The reversal of 105532112205012 is 210502211235501.

It is a super-2 number, since 2×105532112205012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1879473114 + ... + 1879529262.

It is an arithmetic number, because the mean of its divisors is an integer number (5131042925400).

Almost surely, 2^{105532112205012} is an apocalyptic number.

105532112205012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105532112205012 is an abundant number, since it is smaller than the sum of its proper divisors (140757948214188).

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

105532112205012 is a wasteful number, since it uses less digits than its factorization.

105532112205012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84192 (or 84190 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 105532112205012 in words is "one hundred five trillion, five hundred thirty-two billion, one hundred twelve million, two hundred five thousand, twelve".