105006006055 has 8 divisors (see below), whose sum is σ = 126280544544. Its totient is φ = 83822580000.

The previous prime is 105006006037. The next prime is 105006006071. The reversal of 105006006055 is 550600600501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105006006055 - 2⁵ = 105006006023 is a prime.

It is a super-3 number, since 3×105006006055³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22775571 + ... + 22780180.

It is an arithmetic number, because the mean of its divisors is an integer number (15785068068).

Almost surely, 2^105006006055 is an apocalyptic number.

105006006055 is a deficient number, since it is larger than the sum of its proper divisors (21274538489).

105006006055 is an equidigital number, since it uses as much as digits as its factorization.

105006006055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45556217.

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 105006006055 its reverse (550600600501), we get a palindrome (655606606556).

The spelling of 105006006055 in words is "one hundred five billion, six million, six thousand, fifty-five".