105010511005005 has 8 divisors (see below), whose sum is σ = 168016817608032. Its totient is φ = 56005605869328.

The previous prime is 105010511004977. The next prime is 105010511005087. The reversal of 105010511005005 is 500500115010501.

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

It is not a de Polignac number, because 105010511005005 - 2¹⁸ = 105010510742861 is a prime.

It is a super-2 number, since 2×105010511005005² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3500350366819 + ... + 3500350366848.

It is an arithmetic number, because the mean of its divisors is an integer number (21002102201004).

Almost surely, 2^{105010511005005} is an apocalyptic number.

105010511005005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105010511005005 is a deficient number, since it is larger than the sum of its proper divisors (63006306603027).

105010511005005 is an equidigital number, since it uses as much as digits as its factorization.

105010511005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000700733675.

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

Adding to 105010511005005 its reverse (500500115010501), we get a palindrome (605510626015506).

The spelling of 105010511005005 in words is "one hundred five trillion, ten billion, five hundred eleven million, five thousand, five".