516800106 has 24 divisors (see below), whose sum is σ = 1120154880. Its totient is φ = 172201896.

The previous prime is 516800099. The next prime is 516800107. The reversal of 516800106 is 601008615.

It is a super-2 number, since 2×516800106² = 534164699123222472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 516800106.

It is not an unprimeable number, because it can be changed into a prime (516800107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 81975 + ... + 88053.

It is an arithmetic number, because the mean of its divisors is an integer number (46673120).

Almost surely, 2^516800106 is an apocalyptic number.

516800106 is an abundant number, since it is smaller than the sum of its proper divisors (603354774).

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

516800106 is a wasteful number, since it uses less digits than its factorization.

516800106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810 (or 10807 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 516800106 is about 22733.2379128007. The cubic root of 516800106 is about 802.4922828035.

The spelling of 516800106 in words is "five hundred sixteen million, eight hundred thousand, one hundred six".