100105060105116 has 48 divisors (see below), whose sum is σ = 283125422522880. Its totient is φ = 30334866698160.

The previous prime is 100105060105109. The next prime is 100105060105117. The reversal of 100105060105116 is 611501060501001.

100105060105116 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 5 + 0 + 601 + 0 + 51 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100105060105116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105060105117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42131758116 + ... + 42131760491.

It is an arithmetic number, because the mean of its divisors is an integer number (5898446302560).

Almost surely, 2^{100105060105116} is an apocalyptic number.

It is an amenable number.

100105060105116 is an abundant number, since it is smaller than the sum of its proper divisors (183020362417764).

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

100105060105116 is a wasteful number, since it uses less digits than its factorization.

100105060105116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84263518631 (or 84263518623 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 100105060105116 in words is "one hundred trillion, one hundred five billion, sixty million, one hundred five thousand, one hundred sixteen".