105500605013 has 16 divisors (see below), whose sum is σ = 112834982400. Its totient is φ = 98422914240.

The previous prime is 105500605003. The next prime is 105500605043. The reversal of 105500605013 is 310506005501.

It is a cyclic number.

It is not a de Polignac number, because 105500605013 - 2⁸ = 105500604757 is a prime.

It is a super-2 number, since 2×105500605013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500605003) by changing a digit.

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, 486803 + ... + 669311.

It is an arithmetic number, because the mean of its divisors is an integer number (7052186400).

Almost surely, 2^105500605013 is an apocalyptic number.

It is an amenable number.

105500605013 is a deficient number, since it is larger than the sum of its proper divisors (7334377387).

105500605013 is a wasteful number, since it uses less digits than its factorization.

105500605013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183212.

The product of its (nonzero) digits is 2250, while the sum is 26.

The spelling of 105500605013 in words is "one hundred five billion, five hundred million, six hundred five thousand, thirteen".