10555600 has 60 divisors (see below), whose sum is σ = 27676800. Its totient is φ = 3836800.

The previous prime is 10555579. The next prime is 10555609. The reversal of 10555600 is 655501.

It is a super-2 number, since 2×10555600² = 222841382720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10555609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3201 + ... + 5599.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 2^10555600 is an apocalyptic number.

10555600 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 10555600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838400).

10555600 is an abundant number, since it is smaller than the sum of its proper divisors (17121200).

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

10555600 is a wasteful number, since it uses less digits than its factorization.

10555600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 10555600 is about 3248.9382881181. The cubic root of 10555600 is about 219.3617867167.

Subtracting from 10555600 its reverse (655501), we obtain a palindrome (9900099).

The spelling of 10555600 in words is "ten million, five hundred fifty-five thousand, six hundred".