105505064192 has 216 divisors, whose sum is σ = 245715519168. Its totient is φ = 44754124800.

The previous prime is 105505064179. The next prime is 105505064281. The reversal of 105505064192 is 291460505501.

105505064192 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 2×105505064192² (a number of 23 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 23 ways as a sum of consecutive naturals, for example, 119755592 + ... + 119756472.

It is an arithmetic number, because the mean of its divisors is an integer number (1137571848).

Almost surely, 2^105505064192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105505064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122857759584).

105505064192 is an abundant number, since it is smaller than the sum of its proper divisors (140210454976).

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

105505064192 is an equidigital number, since it uses as much as digits as its factorization.

105505064192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 38.

Adding to 105505064192 its reverse (291460505501), we get a palindrome (396965569693).

The spelling of 105505064192 in words is "one hundred five billion, five hundred five million, sixty-four thousand, one hundred ninety-two".