506106 has 24 divisors (see below), whose sum is σ = 1133184. Its totient is φ = 163080.

The previous prime is 506101. The next prime is 506113. The reversal of 506106 is 601605.

506106 is a `hidden beast` number, since 50 + 610 + 6 = 666.

It is a super-2 number, since 2×506106² = 512286566472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (47216).

2⁵⁰⁶¹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566592).

506106 is an abundant number, since it is smaller than the sum of its proper divisors (627078).

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

506106 is a wasteful number, since it uses less digits than its factorization.

506106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 506106 is about 711.4112734558. The cubic root of 506106 is about 79.6918352889.

The spelling of 506106 in words is "five hundred six thousand, one hundred six".