506110006100 has 36 divisors (see below), whose sum is σ = 1098290280444. Its totient is φ = 202438183680.

The previous prime is 506110006097. The next prime is 506110006151. The reversal of 506110006100 is 1600011605.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10364461636 + 495745544464 = 101806^2 + 704092^2 .

It is a super-2 number, since 2×506110006100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5715362 + ... + 5803238.

Almost surely, 2^506110006100 is an apocalyptic number.

506110006100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506110006100 is an abundant number, since it is smaller than the sum of its proper divisors (592180274344).

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

506110006100 is a wasteful number, since it uses less digits than its factorization.

506110006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145484 (or 145477 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 506110006100 its reverse (1600011605), we get a palindrome (507710017705).

The spelling of 506110006100 in words is "five hundred six billion, one hundred ten million, six thousand, one hundred".