105550005105 has 24 divisors (see below), whose sum is σ = 183443862888. Its totient is φ = 56142406656.

The previous prime is 105550005061. The next prime is 105550005167. The reversal of 105550005105 is 501500055501.

105550005105 is a `hidden beast` number, since 1 + 0 + 5 + 550 + 0 + 0 + 5 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 105546364641 = 1908^2 + 324879^2 .

It is not a de Polignac number, because 105550005105 - 2¹⁴ = 105549988721 is a prime.

It is a super-2 number, since 2×105550005105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3127392 + ... + 3160961.

It is an arithmetic number, because the mean of its divisors is an integer number (7643494287).

Almost surely, 2^105550005105 is an apocalyptic number.

105550005105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105550005105 is a deficient number, since it is larger than the sum of its proper divisors (77893857783).

105550005105 is a wasteful number, since it uses less digits than its factorization.

105550005105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6288737 (or 6288734 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 105550005105 in words is "one hundred five billion, five hundred fifty million, five thousand, one hundred five".