105511020440112 has 80 divisors (see below), whose sum is σ = 346120807802880. Its totient is φ = 30146005839168.

The previous prime is 105511020440093. The next prime is 105511020440123. The reversal of 105511020440112 is 211044020115501.

105511020440112 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 1 + 102 + 0 + 440 + 112 = 666.

It is a super-2 number, since 2×105511020440112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 17445602208 + ... + 17445608255.

It is an arithmetic number, because the mean of its divisors is an integer number (4326510097536).

Almost surely, 2^{105511020440112} is an apocalyptic number.

105511020440112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105511020440112 is an abundant number, since it is smaller than the sum of its proper divisors (240609787362768).

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

105511020440112 is a wasteful number, since it uses less digits than its factorization.

105511020440112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34891210487 (or 34891210475 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 105511020440112 its reverse (211044020115501), we get a palindrome (316555040555613).

The spelling of 105511020440112 in words is "one hundred five trillion, five hundred eleven billion, twenty million, four hundred forty thousand, one hundred twelve".