105055110001005 has 16 divisors (see below), whose sum is σ = 168192384456960. Its totient is φ = 55994655848768.

The previous prime is 105055110001003. The next prime is 105055110001007. The reversal of 105055110001005 is 500100011550501.

It is an interprime number because it is at equal distance from previous prime (105055110001003) and next prime (105055110001007).

It is a cyclic number.

It is not a de Polignac number, because 105055110001005 - 2¹ = 105055110001003 is a prime.

It is a super-2 number, since 2×105055110001005² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055110001003) 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 15 ways as a sum of consecutive naturals, for example, 2170984485 + ... + 2171032874.

It is an arithmetic number, because the mean of its divisors is an integer number (10512024028560).

Almost surely, 2^{105055110001005} is an apocalyptic number.

105055110001005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105055110001005 is a deficient number, since it is larger than the sum of its proper divisors (63137274455955).

105055110001005 is a wasteful number, since it uses less digits than its factorization.

105055110001005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342018980.

The product of its (nonzero) digits is 625, while the sum is 24.

Adding to 105055110001005 its reverse (500100011550501), we get a palindrome (605155121551506).

The spelling of 105055110001005 in words is "one hundred five trillion, fifty-five billion, one hundred ten million, one thousand, five".