105606005101011 has 12 divisors (see below), whose sum is σ = 152669019879480. Its totient is φ = 70345382241600.

The previous prime is 105606005101007. The next prime is 105606005101019. The reversal of 105606005101011 is 110101500606501.

105606005101011 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 600 + 51 + 0 + 1 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 105606005101011 - 2² = 105606005101007 is a prime.

It is a super-3 number, since 3×105606005101011³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105606005101019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4885085181 + ... + 4885106798.

It is an arithmetic number, because the mean of its divisors is an integer number (12722418323290).

Almost surely, 2^{105606005101011} is an apocalyptic number.

105606005101011 is a deficient number, since it is larger than the sum of its proper divisors (47063014778469).

105606005101011 is a wasteful number, since it uses less digits than its factorization.

105606005101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9770193186 (or 9770193183 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 105606005101011 its reverse (110101500606501), we get a palindrome (215707505707512).

The spelling of 105606005101011 in words is "one hundred five trillion, six hundred six billion, five million, one hundred one thousand, eleven".