105506111006 has 4 divisors (see below), whose sum is σ = 158259166512. Its totient is φ = 52753055502.

The previous prime is 105506111003. The next prime is 105506111033. The reversal of 105506111006 is 600111605501.

It is a semiprime because it is the product of two primes.

It is a super-3 number, since 3×105506111006³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105506111003) 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 as a sum of consecutive naturals, namely, 26376527750 + ... + 26376527753.

It is an arithmetic number, because the mean of its divisors is an integer number (39564791628).

Almost surely, 2^105506111006 is an apocalyptic number.

105506111006 is a deficient number, since it is larger than the sum of its proper divisors (52753055506).

105506111006 is an equidigital number, since it uses as much as digits as its factorization.

105506111006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52753055505.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 105506111006 its reverse (600111605501), we get a palindrome (705617716507).

The spelling of 105506111006 in words is "one hundred five billion, five hundred six million, one hundred eleven thousand, six".