506100105006 has 16 divisors (see below), whose sum is σ = 1012237876224. Its totient is φ = 168693757304.

The previous prime is 506100105001. The next prime is 506100105031. The reversal of 506100105006 is 600501001605.

It is a super-2 number, since 2×506100105006² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506100105001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1393230 + ... + 1718513.

It is an arithmetic number, because the mean of its divisors is an integer number (63264867264).

Almost surely, 2^506100105006 is an apocalyptic number.

506100105006 is an abundant number, since it is smaller than the sum of its proper divisors (506137771218).

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

506100105006 is a wasteful number, since it uses less digits than its factorization.

506100105006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138855.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 506100105006 in words is "five hundred six billion, one hundred million, one hundred five thousand, six".