2105316667168 has 144 divisors (see below), whose sum is σ = 5028555784896. Its totient is φ = 859474437120.

The previous prime is 2105316667109. The next prime is 2105316667211. The reversal of 2105316667168 is 8617666135012.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 1722805 + ... + 2679307.

It is an arithmetic number, because the mean of its divisors is an integer number (34920526284).

Almost surely, 2^{2105316667168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105316667168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514277892448).

2105316667168 is an abundant number, since it is smaller than the sum of its proper divisors (2923239117728).

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

2105316667168 is a wasteful number, since it uses less digits than its factorization.

2105316667168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956587 (or 956566 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 2105316667168 in words is "two trillion, one hundred five billion, three hundred sixteen million, six hundred sixty-seven thousand, one hundred sixty-eight".