10550400 has 192 divisors, whose sum is σ = 39967680. Its totient is φ = 2396160.

The previous prime is 10550389. The next prime is 10550401. The reversal of 10550400 is 405501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10550400² = 222621880320000, 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 10550400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10550401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67122 + ... + 67278.

It is an arithmetic number, because the mean of its divisors is an integer number (208165).

Almost surely, 2^10550400 is an apocalyptic number.

10550400 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 10550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19983840).

10550400 is an abundant number, since it is smaller than the sum of its proper divisors (29417280).

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

10550400 is a wasteful number, since it uses less digits than its factorization.

10550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 10550400 is about 3248.1379281059. The cubic root of 10550400 is about 219.3257594372.

Adding to 10550400 its reverse (405501), we get a palindrome (10955901).

It can be divided in two parts, 105 and 50400, that added together give a palindrome (50505).

The spelling of 10550400 in words is "ten million, five hundred fifty thousand, four hundred".