10561200 has 120 divisors (see below), whose sum is σ = 36487248. Its totient is φ = 2595840.

The previous prime is 10561181. The next prime is 10561211. The reversal of 10561200 is 216501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10561200² = 223077890880000, which contains 22 as substring.

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 10561200.

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, 15262 + ... + 15938.

Almost surely, 2^10561200 is an apocalyptic number.

10561200 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 10561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18243624).

10561200 is an abundant number, since it is smaller than the sum of its proper divisors (25926048).

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

10561200 is a wasteful number, since it uses less digits than its factorization.

10561200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10561200 is about 3249.7999938458. The cubic root of 10561200 is about 219.4005720955.

Adding to 10561200 its reverse (216501), we get a palindrome (10777701).

The spelling of 10561200 in words is "ten million, five hundred sixty-one thousand, two hundred".