100687117 has 2 divisors, whose sum is σ = 100687118. Its totient is φ = 100687116.

The previous prime is 100687091. The next prime is 100687129. The reversal of 100687117 is 711786001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100580841 + 106276 = 10029^2 + 326^2 .

It is a cyclic number.

It is not a de Polignac number, because 100687117 - 2¹¹ = 100685069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100687157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50343558 + 50343559.

It is an arithmetic number, because the mean of its divisors is an integer number (50343559).

Almost surely, 2^100687117 is an apocalyptic number.

It is an amenable number.

100687117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100687117 is an equidigital number, since it uses as much as digits as its factorization.

100687117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 31.

The square root of 100687117 is about 10034.2970356672. The cubic root of 100687117 is about 465.2195625539.

The spelling of 100687117 in words is "one hundred million, six hundred eighty-seven thousand, one hundred seventeen".