100800517 has 8 divisors (see below), whose sum is σ = 102384920. Its totient is φ = 99221760.

The previous prime is 100800493. The next prime is 100800521. The reversal of 100800517 is 715008001.

It can be written as a sum of positive squares in 4 ways, for example, as 51926436 + 48874081 = 7206^2 + 6991^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100800517 - 2⁷ = 100800389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100803517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47209 + ... + 49297.

It is an arithmetic number, because the mean of its divisors is an integer number (12798115).

Almost surely, 2^100800517 is an apocalyptic number.

It is an amenable number.

100800517 is a deficient number, since it is larger than the sum of its proper divisors (1584403).

100800517 is an equidigital number, since it uses as much as digits as its factorization.

100800517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823.

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 100800517 is about 10039.9460655922. The cubic root of 100800517 is about 465.3941499513.

Adding to 100800517 its reverse (715008001), we get a palindrome (815808518).

The spelling of 100800517 in words is "one hundred million, eight hundred thousand, five hundred seventeen".