105500105005920 has 768 divisors, whose sum is σ = 358613171175168. Its totient is φ = 25977547653120.

The previous prime is 105500105005891. The next prime is 105500105005943. The reversal of 105500105005920 is 29500501005501.

105500105005920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105500105005920² (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 127 ways as a sum of consecutive naturals, for example, 38886878484 + ... + 38886881196.

It is an arithmetic number, because the mean of its divisors is an integer number (466944233301).

Almost surely, 2^{105500105005920} is an apocalyptic number.

105500105005920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105500105005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179306585587584).

105500105005920 is an abundant number, since it is smaller than the sum of its proper divisors (253113066169248).

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

105500105005920 is a wasteful number, since it uses less digits than its factorization.

105500105005920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 33.

The spelling of 105500105005920 in words is "one hundred five trillion, five hundred billion, one hundred five million, five thousand, nine hundred twenty".