10138368 has 72 divisors (see below), whose sum is σ = 27700288. Its totient is φ = 3290112.

The previous prime is 10138363. The next prime is 10138369. The reversal of 10138368 is 86383101.

It is not an unprimeable number, because it can be changed into a prime (10138363) 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, 32871 + ... + 33177.

Almost surely, 2^10138368 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 10138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850144).

10138368 is an abundant number, since it is smaller than the sum of its proper divisors (17561920).

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

10138368 is an equidigital number, since it uses as much as digits as its factorization.

10138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10138368 is about 3184.0804009949. The cubic root of 10138368 is about 216.4326035134.

The spelling of 10138368 in words is "ten million, one hundred thirty-eight thousand, three hundred sixty-eight".