506110505100 has 144 divisors (see below), whose sum is σ = 1518817018656. Its totient is φ = 130014720000.

The previous prime is 506110505099. The next prime is 506110505123. The reversal of 506110505100 is 1505011605.

It is a super-2 number, since 2×506110505100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 895380 + ... + 1346820.

Almost surely, 2^506110505100 is an apocalyptic number.

506110505100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506110505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759408509328).

506110505100 is an abundant number, since it is smaller than the sum of its proper divisors (1012706513556).

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

506110505100 is a wasteful number, since it uses less digits than its factorization.

506110505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451596 (or 451589 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 506110505100 its reverse (1505011605), we get a palindrome (507615516705).

The spelling of 506110505100 in words is "five hundred six billion, one hundred ten million, five hundred five thousand, one hundred".