105011050055 has 16 divisors (see below), whose sum is σ = 128671935264. Its totient is φ = 82253191680.

The previous prime is 105011049991. The next prime is 105011050057. The reversal of 105011050055 is 550050110501.

It is a happy number.

It is not a de Polignac number, because 105011050055 - 2⁶ = 105011049991 is a prime.

It is a super-3 number, since 3×105011050055³ (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 self number, because there is not a number n which added to its sum of digits gives 105011050055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105011050057) 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 15 ways as a sum of consecutive naturals, for example, 1000001 + ... + 1100010.

It is an arithmetic number, because the mean of its divisors is an integer number (8041995954).

Almost surely, 2^105011050055 is an apocalyptic number.

105011050055 is a deficient number, since it is larger than the sum of its proper divisors (23660885209).

105011050055 is a wasteful number, since it uses less digits than its factorization.

105011050055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100226.

The product of its (nonzero) digits is 625, while the sum is 23.

Adding to 105011050055 its reverse (550050110501), we get a palindrome (655061160556).

The spelling of 105011050055 in words is "one hundred five billion, eleven million, fifty thousand, fifty-five".