505112100 has 72 divisors (see below), whose sum is σ = 1472093280. Its totient is φ = 133716480.

The previous prime is 505112089. The next prime is 505112107. The reversal of 505112100 is 1211505.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 505112100.

It is not an unprimeable number, because it can be changed into a prime (505112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35644 + ... + 47756.

It is an arithmetic number, because the mean of its divisors is an integer number (20445740).

Almost surely, 2^505112100 is an apocalyptic number.

505112100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736046640).

505112100 is an abundant number, since it is smaller than the sum of its proper divisors (966981180).

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

505112100 is a wasteful number, since it uses less digits than its factorization.

505112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12269 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 505112100 is about 22474.6991081082. The cubic root of 505112100 is about 796.3963435325.

Adding to 505112100 its reverse (1211505), we get a palindrome (506323605).

The spelling of 505112100 in words is "five hundred five million, one hundred twelve thousand, one hundred".