520106100 has 72 divisors (see below), whose sum is σ = 1507403520. Its totient is φ = 138458880.

The previous prime is 520106087. The next prime is 520106101. The reversal of 520106100 is 1601025.

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 520106100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520106101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241629 + ... + 243771.

It is an arithmetic number, because the mean of its divisors is an integer number (20936160).

Almost surely, 2^520106100 is an apocalyptic number.

520106100 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 520106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753701760).

520106100 is an abundant number, since it is smaller than the sum of its proper divisors (987297420).

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

520106100 is a wasteful number, since it uses less digits than its factorization.

520106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 520106100 is about 22805.8347797225. The cubic root of 520106100 is about 804.1998401783.

Adding to 520106100 its reverse (1601025), we get a palindrome (521707125).

The spelling of 520106100 in words is "five hundred twenty million, one hundred six thousand, one hundred".