2117102106 has 64 divisors (see below), whose sum is σ = 5129699328. Its totient is φ = 568643328.

The previous prime is 2117102093. The next prime is 2117102131. The reversal of 2117102106 is 6012017112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186491 + ... + 1188273.

It is an arithmetic number, because the mean of its divisors is an integer number (80151552).

Almost surely, 2^2117102106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117102106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564849664).

2117102106 is an abundant number, since it is smaller than the sum of its proper divisors (3012597222).

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

2117102106 is a wasteful number, since it uses less digits than its factorization.

2117102106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475.

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 2117102106 is about 46011.9778535981. The cubic root of 2117102106 is about 1284.0460564705.

Adding to 2117102106 its reverse (6012017112), we get a palindrome (8129119218).

The spelling of 2117102106 in words is "two billion, one hundred seventeen million, one hundred two thousand, one hundred six".