561101100 has 144 divisors (see below), whose sum is σ = 1936209408. Its totient is φ = 122664960.

The previous prime is 561101083. The next prime is 561101131. The reversal of 561101100 is 1101165.

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 561101100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42492 + ... + 54108.

Almost surely, 2^561101100 is an apocalyptic number.

561101100 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 561101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968104704).

561101100 is an abundant number, since it is smaller than the sum of its proper divisors (1375108308).

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

561101100 is a wasteful number, since it uses less digits than its factorization.

561101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11664 (or 11657 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 561101100 is about 23687.5726911813. The cubic root of 561101100 is about 824.7969380858.

Adding to 561101100 its reverse (1101165), we get a palindrome (562202265).

The spelling of 561101100 in words is "five hundred sixty-one million, one hundred one thousand, one hundred".