10182144 has 80 divisors (see below), whose sum is σ = 31033728. Its totient is φ = 2906112.

The previous prime is 10182131. The next prime is 10182149. The reversal of 10182144 is 44128101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10182144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10182149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10279 + ... + 11225.

Almost surely, 2^10182144 is an apocalyptic number.

10182144 is a gapful number since it is divisible by the number (14) 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 10182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15516864).

10182144 is an abundant number, since it is smaller than the sum of its proper divisors (20851584).

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

10182144 is an frugal number, since it uses more digits than its factorization.

10182144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10182144 is about 3190.9471947997. The cubic root of 10182144 is about 216.7436644155.

The spelling of 10182144 in words is "ten million, one hundred eighty-two thousand, one hundred forty-four".