105005058305 has 8 divisors (see below), whose sum is σ = 144006937152. Its totient is φ = 72003468528.

The previous prime is 105005058299. The next prime is 105005058307. The reversal of 105005058305 is 503850500501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105005058305 - 2¹⁶ = 105004992769 is a prime.

It is a super-2 number, since 2×105005058305² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105005058307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1500072227 + ... + 1500072296.

It is an arithmetic number, because the mean of its divisors is an integer number (18000867144).

Almost surely, 2^105005058305 is an apocalyptic number.

It is an amenable number.

105005058305 is a deficient number, since it is larger than the sum of its proper divisors (39001878847).

105005058305 is an equidigital number, since it uses as much as digits as its factorization.

105005058305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000144535.

The product of its (nonzero) digits is 15000, while the sum is 32.

Adding to 105005058305 its reverse (503850500501), we get a palindrome (608855558806).

The spelling of 105005058305 in words is "one hundred five billion, five million, fifty-eight thousand, three hundred five".