105005561110055 has 8 divisors (see below), whose sum is σ = 126009832979472. Its totient is φ = 84002342456448.

The previous prime is 105005561110039. The next prime is 105005561110057. The reversal of 105005561110055 is 550011165500501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105005561110055 - 2⁴ = 105005561110039 is a prime.

It is a super-2 number, since 2×105005561110055² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105005561109997 and 105005561110024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005561110057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263084594 + ... + 263483423.

It is an arithmetic number, because the mean of its divisors is an integer number (15751229122434).

Almost surely, 2^{105005561110055} is an apocalyptic number.

105005561110055 is a deficient number, since it is larger than the sum of its proper divisors (21004271869417).

105005561110055 is an equidigital number, since it uses as much as digits as its factorization.

105005561110055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526607905.

The product of its (nonzero) digits is 18750, while the sum is 35.

The spelling of 105005561110055 in words is "one hundred five trillion, five billion, five hundred sixty-one million, one hundred ten thousand, fifty-five".