505500100 has 144 divisors (see below), whose sum is σ = 1343164032. Its totient is φ = 161187840.

The previous prime is 505500089. The next prime is 505500101. The reversal of 505500100 is 1005505.

It is a super-2 number, since 2×505500100² = 511060702200020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505500101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273102 + ... + 1273498.

It is an arithmetic number, because the mean of its divisors is an integer number (9327528).

Almost surely, 2^505500100 is an apocalyptic number.

505500100 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 505500100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671582016).

505500100 is an abundant number, since it is smaller than the sum of its proper divisors (837663932).

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

505500100 is a wasteful number, since it uses less digits than its factorization.

505500100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 16.

The square root of 505500100 is about 22483.3293797871. The cubic root of 505500100 is about 796.6002076487.

Adding to 505500100 its reverse (1005505), we get a palindrome (506505605).

The spelling of 505500100 in words is "five hundred five million, five hundred thousand, one hundred".