105005505605555 has 32 divisors (see below), whose sum is σ = 126495457920000. Its totient is φ = 83679099888384.

The previous prime is 105005505605489. The next prime is 105005505605683. The reversal of 105005505605555 is 555506505500501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105005505605555 is a prime.

It is a super-2 number, since 2×105005505605555² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13110934391 + ... + 13110942399.

It is an arithmetic number, because the mean of its divisors is an integer number (3952983060000).

Almost surely, 2^{105005505605555} is an apocalyptic number.

105005505605555 is a deficient number, since it is larger than the sum of its proper divisors (21489952314445).

105005505605555 is a wasteful number, since it uses less digits than its factorization.

105005505605555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16091.

The product of its (nonzero) digits is 2343750, while the sum is 47.

The spelling of 105005505605555 in words is "one hundred five trillion, five billion, five hundred five million, six hundred five thousand, five hundred fifty-five".