100105717 has 2 divisors, whose sum is σ = 100105718. Its totient is φ = 100105716.

The previous prime is 100105667. The next prime is 100105721. The reversal of 100105717 is 717501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79548561 + 20557156 = 8919^2 + 4534^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105717 - 2¹⁵ = 100072949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052858 + 50052859.

It is an arithmetic number, because the mean of its divisors is an integer number (50052859).

Almost surely, 2^100105717 is an apocalyptic number.

It is an amenable number.

100105717 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105717 is an equidigital number, since it uses as much as digits as its factorization.

100105717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245, while the sum is 22.

The square root of 100105717 is about 10005.2844537274. The cubic root of 100105717 is about 464.3223907054.

Adding to 100105717 its reverse (717501001), we get a palindrome (817606718).

The spelling of 100105717 in words is "one hundred million, one hundred five thousand, seven hundred seventeen".