105110060160006 has 48 divisors (see below), whose sum is σ = 261517853039040. Its totient is φ = 30175136886960.

The previous prime is 105110060159989. The next prime is 105110060160011. The reversal of 105110060160006 is 600061060011501.

105110060160006 is a `hidden beast` number, since 1 + 0 + 51 + 1 + 0 + 0 + 6 + 0 + 1 + 600 + 0 + 6 = 666.

It is a super-2 number, since 2×105110060160006² (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 23 ways as a sum of consecutive naturals, for example, 13969967020 + ... + 13969974543.

It is an arithmetic number, because the mean of its divisors is an integer number (5448288604980).

Almost surely, 2^{105110060160006} is an apocalyptic number.

105110060160006 is an abundant number, since it is smaller than the sum of its proper divisors (156407792879034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105110060160006 is a wasteful number, since it uses less digits than its factorization.

105110060160006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27939941601 (or 27939941598 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 105110060160006 in words is "one hundred five trillion, one hundred ten billion, sixty million, one hundred sixty thousand, six".