2106102160 has 80 divisors (see below), whose sum is σ = 5146295616. Its totient is φ = 800561664.

The previous prime is 2106102127. The next prime is 2106102223. The reversal of 2106102160 is 612016012.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119007 + ... + 135553.

Almost surely, 2^2106102160 is an apocalyptic number.

2106102160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573147808).

2106102160 is an abundant number, since it is smaller than the sum of its proper divisors (3040193456).

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

2106102160 is a wasteful number, since it uses less digits than its factorization.

2106102160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16640 (or 16634 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2106102160 is about 45892.2886768572. The cubic root of 2106102160 is about 1281.8183304236.

Adding to 2106102160 its reverse (612016012), we get a palindrome (2718118172).

The spelling of 2106102160 in words is "two billion, one hundred six million, one hundred two thousand, one hundred sixty".