100505211716 has 48 divisors (see below), whose sum is σ = 216556260480. Its totient is φ = 39744967680.

The previous prime is 100505211679. The next prime is 100505211721. The reversal of 100505211716 is 617112505001.

100505211716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915956 + ... + 1019796.

It is an arithmetic number, because the mean of its divisors is an integer number (4511588760).

Almost surely, 2^100505211716 is an apocalyptic number.

It is an amenable number.

100505211716 is an abundant number, since it is smaller than the sum of its proper divisors (116051048764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100505211716 is a wasteful number, since it uses less digits than its factorization.

100505211716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106524 (or 106522 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 29.

Adding to 100505211716 its reverse (617112505001), we get a palindrome (717617716717).

The spelling of 100505211716 in words is "one hundred billion, five hundred five million, two hundred eleven thousand, seven hundred sixteen".