105050432111211 has 24 divisors (see below), whose sum is σ = 152669216241360. Its totient is φ = 69604948123200.

The previous prime is 105050432111113. The next prime is 105050432111213. The reversal of 105050432111211 is 112111234050501.

105050432111211 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 0 + 432 + 1 + 11 + 211 = 666.

It is not a de Polignac number, because 105050432111211 - 2¹¹ = 105050432109163 is a prime.

It is a super-2 number, since 2×105050432111211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105050432111213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14521600 + ... + 20517741.

It is an arithmetic number, because the mean of its divisors is an integer number (6361217343390).

Almost surely, 2^{105050432111211} is an apocalyptic number.

105050432111211 is a deficient number, since it is larger than the sum of its proper divisors (47618784130149).

105050432111211 is a wasteful number, since it uses less digits than its factorization.

105050432111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35041387 (or 35041384 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 105050432111211 its reverse (112111234050501), we get a palindrome (217161666161712).

The spelling of 105050432111211 in words is "one hundred five trillion, fifty billion, four hundred thirty-two million, one hundred eleven thousand, two hundred eleven".