506010105106 has 64 divisors (see below), whose sum is σ = 864861235200. Its totient is φ = 219933907200.

The previous prime is 506010105079. The next prime is 506010105157. The reversal of 506010105106 is 601501010605.

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 31 ways as a sum of consecutive naturals, for example, 27896416 + ... + 27914548.

It is an arithmetic number, because the mean of its divisors is an integer number (13513456800).

Almost surely, 2^506010105106 is an apocalyptic number.

506010105106 is a deficient number, since it is larger than the sum of its proper divisors (358851130094).

506010105106 is a wasteful number, since it uses less digits than its factorization.

506010105106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18595.

The product of its (nonzero) digits is 900, while the sum is 25.

It can be divided in two parts, 506010 and 105106, that added together give a palindrome (611116).

The spelling of 506010105106 in words is "five hundred six billion, ten million, one hundred five thousand, one hundred six".