100516500216 has 192 divisors, whose sum is σ = 307067436000. Its totient is φ = 29436134400.

The previous prime is 100516500199. The next prime is 100516500239. The reversal of 100516500216 is 612005615001.

It is a happy number.

100516500216 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 650 + 0 + 2 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100516500216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354786 + ... + 4377806.

Almost surely, 2^100516500216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100516500216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153533718000).

100516500216 is an abundant number, since it is smaller than the sum of its proper divisors (206550935784).

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

100516500216 is a wasteful number, since it uses less digits than its factorization.

100516500216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23230 (or 23223 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 100516500216 in words is "one hundred billion, five hundred sixteen million, five hundred thousand, two hundred sixteen".