105550105505 has 16 divisors (see below), whose sum is σ = 136416043344. Its totient is φ = 77937361920.

The previous prime is 105550105499. The next prime is 105550105517. The reversal of 105550105505 is 505501055501.

It can be written as a sum of positive squares in 8 ways, for example, as 28430224 + 105521675281 = 5332^2 + 324841^2 .

It is not a de Polignac number, because 105550105505 - 2⁴ = 105550105489 is a prime.

It is a super-2 number, since 2×105550105505² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676685 + ... + 817925.

It is an arithmetic number, because the mean of its divisors is an integer number (8526002709).

Almost surely, 2^105550105505 is an apocalyptic number.

It is an amenable number.

105550105505 is a deficient number, since it is larger than the sum of its proper divisors (30865937839).

105550105505 is a wasteful number, since it uses less digits than its factorization.

105550105505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152756.

The product of its (nonzero) digits is 15625, while the sum is 32.

The spelling of 105550105505 in words is "one hundred five billion, five hundred fifty million, one hundred five thousand, five hundred five".