105506101728 has 36 divisors (see below), whose sum is σ = 300032977608. Its totient is φ = 35168700480.

The previous prime is 105506101711. The next prime is 105506101733. The reversal of 105506101728 is 827101605501.

105506101728 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 610 + 17 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×105506101728³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105506101692 and 105506101701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183170028 + ... + 183170603.

It is an arithmetic number, because the mean of its divisors is an integer number (8334249378).

Almost surely, 2^105506101728 is an apocalyptic number.

105506101728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105506101728 is an abundant number, since it is smaller than the sum of its proper divisors (194526875880).

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

105506101728 is a wasteful number, since it uses less digits than its factorization.

105506101728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366340647 (or 366340636 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 105506101728 in words is "one hundred five billion, five hundred six million, one hundred one thousand, seven hundred twenty-eight".