112105000032 has 48 divisors (see below), whose sum is σ = 301119255360. Its totient is φ = 36499300992.

The previous prime is 112105000031. The next prime is 112105000037. The reversal of 112105000032 is 230000501211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112104999975 and 112105000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112105000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13574482 + ... + 13582737.

It is an arithmetic number, because the mean of its divisors is an integer number (6273317820).

Almost surely, 2^112105000032 is an apocalyptic number.

112105000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112105000032 is an abundant number, since it is smaller than the sum of its proper divisors (189014255328).

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

112105000032 is a wasteful number, since it uses less digits than its factorization.

112105000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27157275 (or 27157267 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 112105000032 its reverse (230000501211), we get a palindrome (342105501243).

The spelling of 112105000032 in words is "one hundred twelve billion, one hundred five million, thirty-two", and thus it is an aban number.