10530800 has 60 divisors (see below), whose sum is σ = 28922256. Its totient is φ = 3609600.

The previous prime is 10530797. The next prime is 10530811. The reversal of 10530800 is 803501.

10530800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10530800² = 221795497280000, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 920 + ... + 4680.

Almost surely, 2^10530800 is an apocalyptic number.

10530800 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 10530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461128).

10530800 is an abundant number, since it is smaller than the sum of its proper divisors (18391456).

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

10530800 is a wasteful number, since it uses less digits than its factorization.

10530800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10530800 is about 3245.1194122867. The cubic root of 10530800 is about 219.1898578077.

The spelling of 10530800 in words is "ten million, five hundred thirty thousand, eight hundred".