10530400 has 36 divisors (see below), whose sum is σ = 25709292. Its totient is φ = 4211840.

The previous prime is 10530367. The next prime is 10530419. The reversal of 10530400 is 403501.

It is a super-2 number, since 2×10530400² = 221778648320000, 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 5 ways as a sum of consecutive naturals, for example, 5782 + ... + 7381.

It is an arithmetic number, because the mean of its divisors is an integer number (714147).

Almost surely, 2^10530400 is an apocalyptic number.

10530400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10530400 is an abundant number, since it is smaller than the sum of its proper divisors (15178892).

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

10530400 is a wasteful number, since it uses less digits than its factorization.

10530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13183 (or 13170 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 10530400 is about 3245.0577806874. The cubic root of 10530400 is about 219.1870825499.

Adding to 10530400 its reverse (403501), we get a palindrome (10933901).

The spelling of 10530400 in words is "ten million, five hundred thirty thousand, four hundred".