105705521211 has 16 divisors (see below), whose sum is σ = 141145505280. Its totient is φ = 70368012960.

The previous prime is 105705521197. The next prime is 105705521239. The reversal of 105705521211 is 112125507501.

It is not a de Polignac number, because 105705521211 - 2⁵ = 105705521179 is a prime.

It is a super-2 number, since 2×105705521211² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105705521011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7414456 + ... + 7428698.

It is an arithmetic number, because the mean of its divisors is an integer number (8821594080).

Almost surely, 2^105705521211 is an apocalyptic number.

105705521211 is a deficient number, since it is larger than the sum of its proper divisors (35439984069).

105705521211 is a wasteful number, since it uses less digits than its factorization.

105705521211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17666.

The product of its (nonzero) digits is 3500, while the sum is 30.

The spelling of 105705521211 in words is "one hundred five billion, seven hundred five million, five hundred twenty-one thousand, two hundred eleven".