10138024 has 32 divisors (see below), whose sum is σ = 20956320. Its totient is φ = 4568256.

The previous prime is 10138013. The next prime is 10138027. The reversal of 10138024 is 42083101.

It is a junction number, because it is equal to n+sod(n) for n = 10137992 and 10138010.

It is not an unprimeable number, because it can be changed into a prime (10138027) 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 7 ways as a sum of consecutive naturals, for example, 3339 + ... + 5605.

It is an arithmetic number, because the mean of its divisors is an integer number (654885).

Almost surely, 2^10138024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10138024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478160).

10138024 is an abundant number, since it is smaller than the sum of its proper divisors (10818296).

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

10138024 is a wasteful number, since it uses less digits than its factorization.

10138024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10138024 is about 3184.0263818003. The cubic root of 10138024 is about 216.4301555961.

The spelling of 10138024 in words is "ten million, one hundred thirty-eight thousand, twenty-four".