105105511005 has 32 divisors (see below), whose sum is σ = 189374865408. Its totient is φ = 49316366400.

The previous prime is 105105510959. The next prime is 105105511031. The reversal of 105105511005 is 500115501501.

It is not a de Polignac number, because 105105511005 - 2¹⁰ = 105105509981 is a prime.

It is a super-2 number, since 2×105105511005² (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10269129 + ... + 10279358.

It is an arithmetic number, because the mean of its divisors is an integer number (5917964544).

Almost surely, 2^105105511005 is an apocalyptic number.

105105511005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105105511005 is a deficient number, since it is larger than the sum of its proper divisors (84269354403).

105105511005 is a wasteful number, since it uses less digits than its factorization.

105105511005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20548537.

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

The spelling of 105105511005 in words is "one hundred five billion, one hundred five million, five hundred eleven thousand, five".