100516516560606 has 192 divisors, whose sum is σ = 225858981685248. Its totient is φ = 29755142816256.

The previous prime is 100516516560563. The next prime is 100516516560611. The reversal of 100516516560606 is 606065615615001.

It is a super-3 number, since 3×100516516560606³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 570876075 + ... + 571052121.

It is an arithmetic number, because the mean of its divisors is an integer number (1176348862944).

Almost surely, 2^{100516516560606} is an apocalyptic number.

100516516560606 is an abundant number, since it is smaller than the sum of its proper divisors (125342465124642).

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

100516516560606 is a wasteful number, since it uses less digits than its factorization.

100516516560606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176343 (or 176324 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 100516516560606 in words is "one hundred trillion, five hundred sixteen billion, five hundred sixteen million, five hundred sixty thousand, six hundred six".