2117102105 has 4 divisors (see below), whose sum is σ = 2540522532. Its totient is φ = 1693681680.

The previous prime is 2117102093. The next prime is 2117102131. The reversal of 2117102105 is 5012017112.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1523887369 + 593214736 = 39037^2 + 24356^2 .

It is not a de Polignac number, because 2117102105 - 2⁸ = 2117101849 is a prime.

It is a super-3 number, since 3×2117102105³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211710206 + ... + 211710215.

It is an arithmetic number, because the mean of its divisors is an integer number (635130633).

Almost surely, 2^2117102105 is an apocalyptic number.

It is an amenable number.

2117102105 is a deficient number, since it is larger than the sum of its proper divisors (423420427).

2117102105 is an equidigital number, since it uses as much as digits as its factorization.

2117102105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423420426.

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 2117102105 is about 46011.9778427313. The cubic root of 2117102105 is about 1284.0460562683.

Adding to 2117102105 its reverse (5012017112), we get a palindrome (7129119217).

The spelling of 2117102105 in words is "two billion, one hundred seventeen million, one hundred two thousand, one hundred five".