2105095168 has 88 divisors (see below), whose sum is σ = 4715698464. Its totient is φ = 930816000.

The previous prime is 2105095163. The next prime is 2105095211. The reversal of 2105095168 is 8615905012.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105095163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414243 + ... + 419293.

Almost surely, 2^2105095168 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 2105095168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357849232).

2105095168 is an abundant number, since it is smaller than the sum of its proper divisors (2610603296).

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

2105095168 is a wasteful number, since it uses less digits than its factorization.

2105095168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The square root of 2105095168 is about 45881.3161101553. The cubic root of 2105095168 is about 1281.6140056439.

The spelling of 2105095168 in words is "two billion, one hundred five million, ninety-five thousand, one hundred sixty-eight".