105564000 has 192 divisors, whose sum is σ = 364815360. Its totient is φ = 26611200.

The previous prime is 105563989. The next prime is 105564001. The reversal of 105564000 is 465501.

It is a happy number.

It is a super-2 number, since 2×105564000² = 22287516192000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105564001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227769 + ... + 228231.

It is an arithmetic number, because the mean of its divisors is an integer number (1900080).

Almost surely, 2^105564000 is an apocalyptic number.

105564000 is a gapful number since it is divisible by the number (10) 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 105564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182407680).

105564000 is an abundant number, since it is smaller than the sum of its proper divisors (259251360).

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

105564000 is a wasteful number, since it uses less digits than its factorization.

105564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105564000 is about 10274.4342909963. The cubic root of 105564000 is about 472.6125820026.

The spelling of 105564000 in words is "one hundred five million, five hundred sixty-four thousand".