506106000114 has 64 divisors (see below), whose sum is σ = 1208666890368. Its totient is φ = 139247308800.

The previous prime is 506106000083. The next prime is 506106000137. The reversal of 506106000114 is 411000601605.

It is a super-2 number, since 2×506106000114² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4782639 + ... + 4887314.

It is an arithmetic number, because the mean of its divisors is an integer number (18885420162).

Almost surely, 2^506106000114 is an apocalyptic number.

506106000114 is an abundant number, since it is smaller than the sum of its proper divisors (702560890254).

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

506106000114 is a wasteful number, since it uses less digits than its factorization.

506106000114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9670043.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 506106000114 its reverse (411000601605), we get a palindrome (917106601719).

The spelling of 506106000114 in words is "five hundred six billion, one hundred six million, one hundred fourteen", and thus it is an aban number.