100540117 has 2 divisors, whose sum is σ = 100540118. Its totient is φ = 100540116.

The previous prime is 100540109. The next prime is 100540151. The reversal of 100540117 is 711045001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94458961 + 6081156 = 9719^2 + 2466^2 .

It is a cyclic number.

It is not a de Polignac number, because 100540117 - 2³ = 100540109 is a prime.

It is a super-3 number, since 3×100540117³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100540094 and 100540103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100540177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50270058 + 50270059.

It is an arithmetic number, because the mean of its divisors is an integer number (50270059).

Almost surely, 2^100540117 is an apocalyptic number.

It is an amenable number.

100540117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100540117 is an equidigital number, since it uses as much as digits as its factorization.

100540117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 100540117 is about 10026.9694823511. The cubic root of 100540117 is about 464.9930503451.

Adding to 100540117 its reverse (711045001), we get a palindrome (811585118).

The spelling of 100540117 in words is "one hundred million, five hundred forty thousand, one hundred seventeen".