561166100 has 72 divisors (see below), whose sum is σ = 1341851616. Its totient is φ = 202000000.

The previous prime is 561166091. The next prime is 561166129. The reversal of 561166100 is 1661165.

It is a self number, because there is not a number n which added to its sum of digits gives 561166100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108575 + ... + 113625.

It is an arithmetic number, because the mean of its divisors is an integer number (18636828).

Almost surely, 2^561166100 is an apocalyptic number.

561166100 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 561166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670925808).

561166100 is an abundant number, since it is smaller than the sum of its proper divisors (780685516).

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

561166100 is a wasteful number, since it uses less digits than its factorization.

561166100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 561166100 is about 23688.9446789003. The cubic root of 561166100 is about 824.8287860189.

It can be divided in two parts, 561 and 166100, that added together give a palindrome (166661).

The spelling of 561166100 in words is "five hundred sixty-one million, one hundred sixty-six thousand, one hundred".