10552400 has 120 divisors (see below), whose sum is σ = 28045824. Its totient is φ = 3801600.

The previous prime is 10552397. The next prime is 10552417. The reversal of 10552400 is 425501.

It is a super-2 number, since 2×10552400² = 222706291520000, which contains 22 as substring.

It is a congruent number.

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, 285182 + ... + 285218.

Almost surely, 2^10552400 is an apocalyptic number.

10552400 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 10552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022912).

10552400 is an abundant number, since it is smaller than the sum of its proper divisors (17493424).

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

10552400 is a wasteful number, since it uses less digits than its factorization.

10552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 10552400 is about 3248.4457822165. The cubic root of 10552400 is about 219.3396174838.

Adding to 10552400 its reverse (425501), we get a palindrome (10977901).

The spelling of 10552400 in words is "ten million, five hundred fifty-two thousand, four hundred".