561164100 has 144 divisors (see below), whose sum is σ = 1863297408. Its totient is φ = 127733760.

The previous prime is 561164099. The next prime is 561164111. The reversal of 561164100 is 1461165.

561164100 = 1703² + 1704² + ... + 1877².

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, 740922 + ... + 741678.

Almost surely, 2^561164100 is an apocalyptic number.

561164100 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 561164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931648704).

561164100 is an abundant number, since it is smaller than the sum of its proper divisors (1302133308).

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

561164100 is a wasteful number, since it uses less digits than its factorization.

561164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 561164100 is about 23688.9024650785. The cubic root of 561164100 is about 824.8278061192.

The spelling of 561164100 in words is "five hundred sixty-one million, one hundred sixty-four thousand, one hundred".