505110110106 has 96 divisors (see below), whose sum is σ = 1244602547712. Its totient is φ = 135792814080.

The previous prime is 505110110081. The next prime is 505110110107. The reversal of 505110110106 is 601011011505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (505110110107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23584855 + ... + 23606261.

It is an arithmetic number, because the mean of its divisors is an integer number (12964609872).

Almost surely, 2^505110110106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505110110106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622301273856).

505110110106 is an abundant number, since it is smaller than the sum of its proper divisors (739492437606).

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

505110110106 is a wasteful number, since it uses less digits than its factorization.

505110110106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26164 (or 26157 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 505110110106 in words is "five hundred five billion, one hundred ten million, one hundred ten thousand, one hundred six".