506101100 has 36 divisors (see below), whose sum is σ = 1156045800. Its totient is φ = 191784960.

The previous prime is 506101093. The next prime is 506101103. The reversal of 506101100 is 1101605.

It is a super-2 number, since 2×506101100² = 512276646842420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131285 + ... + 135084.

Almost surely, 2^506101100 is an apocalyptic number.

506101100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506101100 is an abundant number, since it is smaller than the sum of its proper divisors (649944700).

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

506101100 is a wasteful number, since it uses less digits than its factorization.

506101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266402 (or 266395 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 506101100 is about 22496.6908677699. The cubic root of 506101100 is about 796.9157810220.

Adding to 506101100 its reverse (1101605), we get a palindrome (507202705).

The spelling of 506101100 in words is "five hundred six million, one hundred one thousand, one hundred".