102105841716 has 36 divisors (see below), whose sum is σ = 259438205572. Its totient is φ = 33858929664.

The previous prime is 102105841709. The next prime is 102105841723. The reversal of 102105841716 is 617148501201.

102105841716 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 584 + 1 + 71 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (102105841709) and next prime (102105841723).

It can be written as a sum of positive squares in 2 ways, for example, as 17218688400 + 84887153316 = 131220^2 + 291354^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7340911 + ... + 7354806.

Almost surely, 2^102105841716 is an apocalyptic number.

It is an amenable number.

102105841716 is an abundant number, since it is smaller than the sum of its proper divisors (157332363856).

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

102105841716 is a wasteful number, since it uses less digits than its factorization.

102105841716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14695920 (or 14695915 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 102105841716 in words is "one hundred two billion, one hundred five million, eight hundred forty-one thousand, seven hundred sixteen".