105124403124040 has 32 divisors (see below), whose sum is σ = 237590579278080. Its totient is φ = 41861197294272.

The previous prime is 105124403124011. The next prime is 105124403124043. The reversal of 105124403124040 is 40421304421501.

It is a happy number.

It is a super-2 number, since 2×105124403124040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105124403123993 and 105124403124011.

It is not an unprimeable number, because it can be changed into a prime (105124403124043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5892614574 + ... + 5892632413.

It is an arithmetic number, because the mean of its divisors is an integer number (7424705602440).

Almost surely, 2^{105124403124040} is an apocalyptic number.

105124403124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105124403124040 is an abundant number, since it is smaller than the sum of its proper divisors (132466176154040).

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

105124403124040 is a wasteful number, since it uses less digits than its factorization.

105124403124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11785247221 (or 11785247217 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 105124403124040 its reverse (40421304421501), we get a palindrome (145545707545541).

The spelling of 105124403124040 in words is "one hundred five trillion, one hundred twenty-four billion, four hundred three million, one hundred twenty-four thousand, forty".