10382500 has 30 divisors (see below), whose sum is σ = 22709918. Its totient is φ = 4152000.

The previous prime is 10382447. The next prime is 10382501. The reversal of 10382500 is 528301.

It is a happy number.

10382500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 7485696 + 2896804 = 2736^2 + 1702^2 .

It is not an unprimeable number, because it can be changed into a prime (10382501) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 424 + ... + 4576.

Almost surely, 2^10382500 is an apocalyptic number.

10382500 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 10382500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11354959).

10382500 is an abundant number, since it is smaller than the sum of its proper divisors (12327418).

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

10382500 is an equidigital number, since it uses as much as digits as its factorization.

10382500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10382500 is about 3222.1886971436. The cubic root of 10382500 is about 218.1560759823.

The spelling of 10382500 in words is "ten million, three hundred eighty-two thousand, five hundred".