516868100 has 36 divisors (see below), whose sum is σ = 1281834624. Its totient is φ = 177211680.

The previous prime is 516868091. The next prime is 516868109. The reversal of 516868100 is 1868615.

It is an interprime number because it is at equal distance from previous prime (516868091) and next prime (516868109).

It is a super-2 number, since 2×516868100² = 534305265595220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (516868109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368492 + ... + 369891.

Almost surely, 2^516868100 is an apocalyptic number.

516868100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516868100 is an abundant number, since it is smaller than the sum of its proper divisors (764966524).

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

516868100 is a wasteful number, since it uses less digits than its factorization.

516868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738404 (or 738397 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 516868100 is about 22734.7333391003. The cubic root of 516868100 is about 802.5274751772.

The spelling of 516868100 in words is "five hundred sixteen million, eight hundred sixty-eight thousand, one hundred".