506340100 has 72 divisors (see below), whose sum is σ = 1260280448. Its totient is φ = 172972800.

The previous prime is 506340083. The next prime is 506340113. The reversal of 506340100 is 1043605.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217945 + ... + 220255.

Almost surely, 2^506340100 is an apocalyptic number.

506340100 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 506340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630140224).

506340100 is an abundant number, since it is smaller than the sum of its proper divisors (753940348).

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

506340100 is a wasteful number, since it uses less digits than its factorization.

506340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 506340100 is about 22502.0021331436. The cubic root of 506340100 is about 797.0412058289.

Adding to 506340100 its reverse (1043605), we get a palindrome (507383705).

The spelling of 506340100 in words is "five hundred six million, three hundred forty thousand, one hundred".