100116117 has 12 divisors (see below), whose sum is σ = 148521100. Its totient is φ = 64939968.

The previous prime is 100116113. The next prime is 100116131. The reversal of 100116117 is 711611001.

It can be written as a sum of positive squares in 2 ways, for example, as 66487716 + 33628401 = 8154^2 + 5799^2 .

It is not a de Polignac number, because 100116117 - 2² = 100116113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100116117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100116113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149992 + ... + 150657.

Almost surely, 2^100116117 is an apocalyptic number.

It is an amenable number.

100116117 is a deficient number, since it is larger than the sum of its proper divisors (48404983).

100116117 is a wasteful number, since it uses less digits than its factorization.

100116117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300692 (or 300689 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

The square root of 100116117 is about 10005.8041655831. The cubic root of 100116117 is about 464.3384696593.

Adding to 100116117 its reverse (711611001), we get a palindrome (811727118).

The spelling of 100116117 in words is "one hundred million, one hundred sixteen thousand, one hundred seventeen".