105006111028 has 48 divisors (see below), whose sum is σ = 226194129280. Its totient is φ = 41535897984.

The previous prime is 105006111013. The next prime is 105006111073. The reversal of 105006111028 is 820111600501.

It is a happy number.

It is a super-2 number, since 2×105006111028² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105006110993 and 105006111011.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5096275 + ... + 5116837.

Almost surely, 2^105006111028 is an apocalyptic number.

It is an amenable number.

105006111028 is an abundant number, since it is smaller than the sum of its proper divisors (121188018252).

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

105006111028 is a wasteful number, since it uses less digits than its factorization.

105006111028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34616 (or 34614 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 25.

Adding to 105006111028 its reverse (820111600501), we get a palindrome (925117711529).

The spelling of 105006111028 in words is "one hundred five billion, six million, one hundred eleven thousand, twenty-eight".