506106150 has 96 divisors (see below), whose sum is σ = 1449871488. Its totient is φ = 115468800.

The previous prime is 506106143. The next prime is 506106151. The reversal of 506106150 is 51601605.

It is a super-2 number, since 2×506106150² = 512286870135645000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506106150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506106151) 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 47 ways as a sum of consecutive naturals, for example, 19029 + ... + 37071.

It is an arithmetic number, because the mean of its divisors is an integer number (15102828).

Almost surely, 2^506106150 is an apocalyptic number.

506106150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 506106150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724935744).

506106150 is an abundant number, since it is smaller than the sum of its proper divisors (943765338).

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

506106150 is a wasteful number, since it uses less digits than its factorization.

506106150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18086 (or 18081 counting only the distinct ones).

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

The square root of 506106150 is about 22496.8031062193. The cubic root of 506106150 is about 796.9184316198.

Adding to 506106150 its reverse (51601605), we get a palindrome (557707755).

The spelling of 506106150 in words is "five hundred six million, one hundred six thousand, one hundred fifty".