105430241122011 has 24 divisors (see below), whose sum is σ = 164020603415760. Its totient is φ = 64873025084736.

The previous prime is 105430241122009. The next prime is 105430241122013. The reversal of 105430241122011 is 110221142034501.

105430241122011 is a `hidden beast` number, since 1 + 0 + 5 + 43 + 0 + 2 + 411 + 2 + 201 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (105430241122009) and next prime (105430241122013).

It is not a de Polignac number, because 105430241122011 - 2¹ = 105430241122009 is a prime.

It is a super-2 number, since 2×105430241122011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105430241122013) 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, 48397041 + ... + 50528546.

It is an arithmetic number, because the mean of its divisors is an integer number (6834191808990).

Almost surely, 2^{105430241122011} is an apocalyptic number.

105430241122011 is a deficient number, since it is larger than the sum of its proper divisors (58590362293749).

105430241122011 is a wasteful number, since it uses less digits than its factorization.

105430241122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98934715 (or 98934712 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 105430241122011 its reverse (110221142034501), we get a palindrome (215651383156512).

The spelling of 105430241122011 in words is "one hundred five trillion, four hundred thirty billion, two hundred forty-one million, one hundred twenty-two thousand, eleven".