10182000 has 80 divisors (see below), whose sum is σ = 32846112. Its totient is φ = 2713600.

The previous prime is 10181999. The next prime is 10182023. The reversal of 10182000 is 28101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5152 + ... + 6848.

Almost surely, 2^10182000 is an apocalyptic number.

10182000 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 10182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16423056).

10182000 is an abundant number, since it is smaller than the sum of its proper divisors (22664112).

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

10182000 is a wasteful number, since it uses less digits than its factorization.

10182000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10182000 is about 3190.9246308868. The cubic root of 10182000 is about 216.7426426518.

The spelling of 10182000 in words is "ten million, one hundred eighty-two thousand".