105005000055 has 32 divisors (see below), whose sum is σ = 175342288896. Its totient is φ = 53558726144.

The previous prime is 105005000041. The next prime is 105005000057. The reversal of 105005000055 is 550000500501.

It is a cyclic number.

It is not a de Polignac number, because 105005000055 - 2¹³ = 105004991863 is a prime.

It is a super-2 number, since 2×105005000055² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105004999995 and 105005000040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005000057) 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 31 ways as a sum of consecutive naturals, for example, 2335114 + ... + 2379656.

It is an arithmetic number, because the mean of its divisors is an integer number (5479446528).

Almost surely, 2^105005000055 is an apocalyptic number.

105005000055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105005000055 is a deficient number, since it is larger than the sum of its proper divisors (70337288841).

105005000055 is a wasteful number, since it uses less digits than its factorization.

105005000055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51407.

The product of its (nonzero) digits is 625, while the sum is 21.

Adding to 105005000055 its reverse (550000500501), we get a palindrome (655005500556).

The spelling of 105005000055 in words is "one hundred five billion, five million, fifty-five", and thus it is an aban number.