105700511828 has 12 divisors (see below), whose sum is σ = 184982995680. Its totient is φ = 52848227352.

The previous prime is 105700511803. The next prime is 105700511837. The reversal of 105700511828 is 828115007501.

It is a super-2 number, since 2×105700511828² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105700511791 and 105700511800.

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 3 ways as a sum of consecutive naturals, for example, 386726 + ... + 600797.

It is an arithmetic number, because the mean of its divisors is an integer number (15415249640).

Almost surely, 2^105700511828 is an apocalyptic number.

It is an amenable number.

105700511828 is a deficient number, since it is larger than the sum of its proper divisors (79282483852).

105700511828 is a wasteful number, since it uses less digits than its factorization.

105700511828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014286 (or 1014284 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 38.

The spelling of 105700511828 in words is "one hundred five billion, seven hundred million, five hundred eleven thousand, eight hundred twenty-eight".