105117530053110 has 32 divisors (see below), whose sum is σ = 252930612186720. Its totient is φ = 27959281340928.

The previous prime is 105117530053033. The next prime is 105117530053127. The reversal of 105117530053110 is 11350035711501.

105117530053110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105117530053110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4503738547 + ... + 4503761886.

It is an arithmetic number, because the mean of its divisors is an integer number (7904081630835).

Almost surely, 2^{105117530053110} is an apocalyptic number.

105117530053110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105117530053110 is an abundant number, since it is smaller than the sum of its proper divisors (147813082133610).

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

105117530053110 is a wasteful number, since it uses less digits than its factorization.

105117530053110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9007500832.

The product of its (nonzero) digits is 7875, while the sum is 33.

Adding to 105117530053110 its reverse (11350035711501), we get a palindrome (116467565764611).

The spelling of 105117530053110 in words is "one hundred five trillion, one hundred seventeen billion, five hundred thirty million, fifty-three thousand, one hundred ten".