105050341305 has 96 divisors (see below), whose sum is σ = 224215520256. Its totient is φ = 44307551232.

The previous prime is 105050341271. The next prime is 105050341309. The reversal of 105050341305 is 503143050501.

105050341305 is a `hidden beast` number, since 10 + 5 + 0 + 5 + 0 + 341 + 305 = 666.

It is not a de Polignac number, because 105050341305 - 2¹⁴ = 105050324921 is a prime.

It is a super-2 number, since 2×105050341305² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105050341309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10777264 + ... + 10787006.

It is an arithmetic number, because the mean of its divisors is an integer number (2335578336).

Almost surely, 2^105050341305 is an apocalyptic number.

105050341305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105050341305 is an abundant number, since it is smaller than the sum of its proper divisors (119165178951).

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

105050341305 is a wasteful number, since it uses less digits than its factorization.

105050341305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12407 (or 12404 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 105050341305 its reverse (503143050501), we get a palindrome (608193391806).

The spelling of 105050341305 in words is "one hundred five billion, fifty million, three hundred forty-one thousand, three hundred five".