105006055 has 32 divisors (see below), whose sum is σ = 158630400. Its totient is φ = 64821120.

The previous prime is 105006029. The next prime is 105006079. The reversal of 105006055 is 550600501.

It is not a de Polignac number, because 105006055 - 2⁵ = 105006023 is a prime.

It is a super-2 number, since 2×105006055² = 22052543173326050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39921 + ... + 42469.

It is an arithmetic number, because the mean of its divisors is an integer number (4957200).

Almost surely, 2^105006055 is an apocalyptic number.

105006055 is a deficient number, since it is larger than the sum of its proper divisors (53624345).

105006055 is a wasteful number, since it uses less digits than its factorization.

105006055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679.

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 105006055 is about 10247.2462154473. The cubic root of 105006055 is about 471.7784663135.

Adding to 105006055 its reverse (550600501), we get a palindrome (655606556).

The spelling of 105006055 in words is "one hundred five million, six thousand, fifty-five".