100105100560116 has 72 divisors (see below), whose sum is σ = 268149186396000. Its totient is φ = 31399974993600.

The previous prime is 100105100560109. The next prime is 100105100560159. The reversal of 100105100560116 is 611065001501001.

100105100560116 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 51 + 0 + 0 + 5 + 601 + 1 + 6 = 666.

100105100560116 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100105100560116.

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, 491013810 + ... + 491217641.

It is an arithmetic number, because the mean of its divisors is an integer number (3724294255500).

Almost surely, 2^{100105100560116} is an apocalyptic number.

It is an amenable number.

100105100560116 is an abundant number, since it is smaller than the sum of its proper divisors (168044085835884).

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

100105100560116 is a wasteful number, since it uses less digits than its factorization.

100105100560116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982231629 (or 982231624 counting only the distinct ones).

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

The spelling of 100105100560116 in words is "one hundred trillion, one hundred five billion, one hundred million, five hundred sixty thousand, one hundred sixteen".