105581027112 has 48 divisors (see below), whose sum is σ = 290129689920. Its totient is φ = 31994249760.

The previous prime is 105581027107. The next prime is 105581027179. The reversal of 105581027112 is 211720185501.

It is a super-2 number, since 2×105581027112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18175648 + ... + 18181455.

It is an arithmetic number, because the mean of its divisors is an integer number (6044368540).

Almost surely, 2^105581027112 is an apocalyptic number.

105581027112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105581027112 is an abundant number, since it is smaller than the sum of its proper divisors (184548662808).

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

105581027112 is a wasteful number, since it uses less digits than its factorization.

105581027112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36357134 (or 36357119 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 33.

The spelling of 105581027112 in words is "one hundred five billion, five hundred eighty-one million, twenty-seven thousand, one hundred twelve".