561210100 has 54 divisors (see below), whose sum is σ = 1338630902. Its totient is φ = 204072000.

The previous prime is 561210077. The next prime is 561210101. The reversal of 561210100 is 1012165.

It is a happy number.

561210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 59629284 + 501580816 = 7722^2 + 22396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561210101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11091 + ... + 35290.

Almost surely, 2^561210100 is an apocalyptic number.

561210100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561210100 is an abundant number, since it is smaller than the sum of its proper divisors (777420802).

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

561210100 is a wasteful number, since it uses less digits than its factorization.

561210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46417 (or 46399 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 561210100 is about 23689.8733639503. The cubic root of 561210100 is about 824.8503432240.

Adding to 561210100 its reverse (1012165), we get a palindrome (562222265).

The spelling of 561210100 in words is "five hundred sixty-one million, two hundred ten thousand, one hundred".