105506110605 has 64 divisors (see below), whose sum is σ = 200083069440. Its totient is φ = 46450381824.

The previous prime is 105506110601. The next prime is 105506110607. The reversal of 105506110605 is 506011605501.

It is not a de Polignac number, because 105506110605 - 2² = 105506110601 is a prime.

It is a super-3 number, since 3×105506110605³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105506110601) 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, 1165227 + ... + 1252503.

It is an arithmetic number, because the mean of its divisors is an integer number (3126297960).

Almost surely, 2^105506110605 is an apocalyptic number.

105506110605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105506110605 is a deficient number, since it is larger than the sum of its proper divisors (94576958835).

105506110605 is a wasteful number, since it uses less digits than its factorization.

105506110605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87718.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105506110605 in words is "one hundred five billion, five hundred six million, one hundred ten thousand, six hundred five".