105505106006110 has 32 divisors (see below), whose sum is σ = 190171578539520. Its totient is φ = 42143737271328.

The previous prime is 105505106006101. The next prime is 105505106006197. The reversal of 105505106006110 is 11600601505501.

It is a super-2 number, since 2×105505106006110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287309679 + ... + 287676661.

It is an arithmetic number, because the mean of its divisors is an integer number (5942861829360).

Almost surely, 2^{105505106006110} is an apocalyptic number.

105505106006110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105505106006110 is a deficient number, since it is larger than the sum of its proper divisors (84666472533410).

105505106006110 is a wasteful number, since it uses less digits than its factorization.

105505106006110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406632.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105505106006110 in words is "one hundred five trillion, five hundred five billion, one hundred six million, six thousand, one hundred ten".