105505611005 has 32 divisors (see below), whose sum is σ = 135593740800. Its totient is φ = 78569352000.

The previous prime is 105505610999. The next prime is 105505611007. The reversal of 105505611005 is 500116505501.

It is a happy number.

It is not a de Polignac number, because 105505611005 - 2⁴ = 105505610989 is a prime.

It is a super-2 number, since 2×105505611005² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505611007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18667430 + ... + 18673080.

It is an arithmetic number, because the mean of its divisors is an integer number (4237304400).

Almost surely, 2^105505611005 is an apocalyptic number.

It is an amenable number.

105505611005 is a deficient number, since it is larger than the sum of its proper divisors (30088129795).

105505611005 is a wasteful number, since it uses less digits than its factorization.

105505611005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9065.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105505611005 in words is "one hundred five billion, five hundred five million, six hundred eleven thousand, five".