105124111000 has 32 divisors (see below), whose sum is σ = 245990422080. Its totient is φ = 42049644000.

The previous prime is 105124110997. The next prime is 105124111007. The reversal of 105124111000 is 111421501.

It is a super-3 number, since 3×105124111000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105124111007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 52561056 + ... + 52563055.

It is an arithmetic number, because the mean of its divisors is an integer number (7687200690).

Almost surely, 2^105124111000 is an apocalyptic number.

105124111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105124111000 is an abundant number, since it is smaller than the sum of its proper divisors (140866311080).

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

105124111000 is a wasteful number, since it uses less digits than its factorization.

105124111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105124132 (or 105124118 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 105124111000 its reverse (111421501), we get a palindrome (105235532501).

The spelling of 105124111000 in words is "one hundred five billion, one hundred twenty-four million, one hundred eleven thousand".