10082600 has 48 divisors (see below), whose sum is σ = 25578720. Its totient is φ = 3665600.

The previous prime is 10082599. The next prime is 10082603. The reversal of 10082600 is 628001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082603) 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 11 ways as a sum of consecutive naturals, for example, 92 + ... + 4491.

It is an arithmetic number, because the mean of its divisors is an integer number (532890).

Almost surely, 2^10082600 is an apocalyptic number.

10082600 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 10082600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789360).

10082600 is an abundant number, since it is smaller than the sum of its proper divisors (15496120).

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

10082600 is a wasteful number, since it uses less digits than its factorization.

10082600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10082600 is about 3175.3110083896. The cubic root of 10082600 is about 216.0350308982.

The spelling of 10082600 in words is "ten million, eighty-two thousand, six hundred".