506105000 has 40 divisors (see below), whose sum is σ = 1185815730. Its totient is φ = 202440000.

The previous prime is 506104987. The next prime is 506105027. The reversal of 506105000 is 501605.

It can be written as a sum of positive squares in 5 ways, for example, as 23951236 + 482153764 = 4894^2 + 21958^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×506105000² = 512284542050000000, 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 506105000.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 45611 + ... + 55610.

Almost surely, 2^506105000 is an apocalyptic number.

506105000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506105000 is an abundant number, since it is smaller than the sum of its proper divisors (679710730).

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

506105000 is a wasteful number, since it uses less digits than its factorization.

506105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101247 (or 101228 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 506105000 is about 22496.7775470177. Note that the first 3 decimals coincide. The cubic root of 506105000 is about 796.9178280198.

Adding to 506105000 its reverse (501605), we get a palindrome (506606605).

The spelling of 506105000 in words is "five hundred six million, one hundred five thousand".