10528900 has 36 divisors (see below), whose sum is σ = 23002000. Its totient is φ = 4183200.

The previous prime is 10528897. The next prime is 10528901. The reversal of 10528900 is 982501.

It is a super-2 number, since 2×10528900² = 221715470420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10528901) 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, 20851 + ... + 21349.

Almost surely, 2^10528900 is an apocalyptic number.

10528900 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 10528900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11501000).

10528900 is an abundant number, since it is smaller than the sum of its proper divisors (12473100).

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

10528900 is a wasteful number, since it uses less digits than its factorization.

10528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 10528900 is about 3244.8266517643. The cubic root of 10528900 is about 219.1766747074.

The spelling of 10528900 in words is "ten million, five hundred twenty-eight thousand, nine hundred".