105610106106060 has 48 divisors (see below), whose sum is σ = 295751111099136. Its totient is φ = 28158617437632.

The previous prime is 105610106106041. The next prime is 105610106106061. The reversal of 105610106106060 is 60601601016501.

It is a super-2 number, since 2×105610106106060² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105610106106061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127004752 + ... + 127833591.

It is an arithmetic number, because the mean of its divisors is an integer number (6161481481232).

Almost surely, 2^{105610106106060} is an apocalyptic number.

105610106106060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105610106106060 is an abundant number, since it is smaller than the sum of its proper divisors (190141004993076).

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

105610106106060 is a wasteful number, since it uses less digits than its factorization.

105610106106060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254845262 (or 254845260 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 105610106106060 in words is "one hundred five trillion, six hundred ten billion, one hundred six million, one hundred six thousand, sixty".