105064620305 has 16 divisors (see below), whose sum is σ = 126334902144. Its totient is φ = 83880299520.

The previous prime is 105064620293. The next prime is 105064620307. The reversal of 105064620305 is 503026460501.

It is not a de Polignac number, because 105064620305 - 2¹⁶ = 105064554769 is a prime.

It is a super-2 number, since 2×105064620305² (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 (105064620307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5302577 + ... + 5322353.

It is an arithmetic number, because the mean of its divisors is an integer number (7895931384).

Almost surely, 2^105064620305 is an apocalyptic number.

It is an amenable number.

105064620305 is a deficient number, since it is larger than the sum of its proper divisors (21270281839).

105064620305 is a wasteful number, since it uses less digits than its factorization.

105064620305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21896.

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 105064620305 in words is "one hundred five billion, sixty-four million, six hundred twenty thousand, three hundred five".