10082500 has 60 divisors (see below), whose sum is σ = 22852060. Its totient is φ = 3888000.

The previous prime is 10082477. The next prime is 10082509. The reversal of 10082500 is 528001.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 4588164 + 5494336 = 2142^2 + 2344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92446 + ... + 92554.

Almost surely, 2^10082500 is an apocalyptic number.

10082500 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 10082500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11426030).

10082500 is an abundant number, since it is smaller than the sum of its proper divisors (12769560).

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

10082500 is a wasteful number, since it uses less digits than its factorization.

10082500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10082500 is about 3175.2952618615. The cubic root of 10082500 is about 216.0343166785.

The spelling of 10082500 in words is "ten million, eighty-two thousand, five hundred".