105055510113 has 64 divisors (see below), whose sum is σ = 175975372800. Its totient is φ = 61590896640.

The previous prime is 105055510111. The next prime is 105055510211. The reversal of 105055510113 is 311015550501.

105055510113 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 555 + 101 + 1 + 3 = 666.

It is not a de Polignac number, because 105055510113 - 2¹ = 105055510111 is a prime.

It is a super-2 number, since 2×105055510113² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105055510111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285345 + ... + 539937.

It is an arithmetic number, because the mean of its divisors is an integer number (2749615200).

Almost surely, 2^105055510113 is an apocalyptic number.

It is an amenable number.

105055510113 is a deficient number, since it is larger than the sum of its proper divisors (70919862687).

105055510113 is a wasteful number, since it uses less digits than its factorization.

105055510113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254679 (or 254673 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 27.

The spelling of 105055510113 in words is "one hundred five billion, fifty-five million, five hundred ten thousand, one hundred thirteen".