10382112 has 144 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3073536.

The previous prime is 10382111. The next prime is 10382147. The reversal of 10382112 is 21128301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10382111) 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 23 ways as a sum of consecutive naturals, for example, 175939 + ... + 175997.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^10382112 is an apocalyptic number.

10382112 is a gapful number since it is divisible by the number (12) 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 10382112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

10382112 is an abundant number, since it is smaller than the sum of its proper divisors (22639968).

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

10382112 is a wasteful number, since it uses less digits than its factorization.

10382112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10382112 is about 3222.1284890581. The cubic root of 10382112 is about 218.1533584091.

It can be divided in two parts, 103 and 82112, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 10382112 in words is "ten million, three hundred eighty-two thousand, one hundred twelve".