506106101 has 2 divisors, whose sum is σ = 506106102. Its totient is φ = 506106100.

The previous prime is 506106079. The next prime is 506106103. The reversal of 506106101 is 101601605.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 277189201 + 228916900 = 16649^2 + 15130^2 .

It is a cyclic number.

It is not a de Polignac number, because 506106101 - 2¹⁰ = 506105077 is a prime.

It is a super-2 number, since 2×506106101² = 512286770938844402, which contains 22 as substring.

Together with 506106103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506106103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253053050 + 253053051.

It is an arithmetic number, because the mean of its divisors is an integer number (253053051).

Almost surely, 2^506106101 is an apocalyptic number.

It is an amenable number.

506106101 is a deficient number, since it is larger than the sum of its proper divisors (1).

506106101 is an equidigital number, since it uses as much as digits as its factorization.

506106101 is an odious number, because the sum of its binary digits is odd.

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

The square root of 506106101 is about 22496.8020171757. The cubic root of 506106101 is about 796.9184059012.

Adding to 506106101 its reverse (101601605), we get a palindrome (607707706).

The spelling of 506106101 in words is "five hundred six million, one hundred six thousand, one hundred one".