506106000101 has 8 divisors (see below), whose sum is σ = 546778568280. Its totient is φ = 465682194432.

The previous prime is 506106000083. The next prime is 506106000137. The reversal of 506106000101 is 101000601605.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58371043201 + 447734956900 = 241601^2 + 669130^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-506106000101 is a prime.

It is a super-2 number, since 2×506106000101² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506106000151) 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, 62186396 + ... + 62194533.

It is an arithmetic number, because the mean of its divisors is an integer number (68347321035).

Almost surely, 2^506106000101 is an apocalyptic number.

It is an amenable number.

506106000101 is a deficient number, since it is larger than the sum of its proper divisors (40672568179).

506106000101 is a wasteful number, since it uses less digits than its factorization.

506106000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124381255.

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

Adding to 506106000101 its reverse (101000601605), we get a palindrome (607106601706).

The spelling of 506106000101 in words is "five hundred six billion, one hundred six million, one hundred one", and thus it is an aban number.