101116105 has 4 divisors (see below), whose sum is σ = 121339332. Its totient is φ = 80892880.

The previous prime is 101116097. The next prime is 101116111. The reversal of 101116105 is 501611101.

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 17740944 + 83375161 = 4212^2 + 9131^2 .

It is not a de Polignac number, because 101116105 - 2³ = 101116097 is a prime.

It is a Duffinian 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, 10111606 + ... + 10111615.

It is an arithmetic number, because the mean of its divisors is an integer number (30334833).

Almost surely, 2^101116105 is an apocalyptic number.

It is an amenable number.

101116105 is a deficient number, since it is larger than the sum of its proper divisors (20223227).

101116105 is an equidigital number, since it uses as much as digits as its factorization.

101116105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20223226.

The product of its (nonzero) digits is 30, while the sum is 16.

The square root of 101116105 is about 10055.6504016399. The cubic root of 101116105 is about 465.8793319792.

Adding to 101116105 its reverse (501611101), we get a palindrome (602727206).

The spelling of 101116105 in words is "one hundred one million, one hundred sixteen thousand, one hundred five".