10388112 has 80 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 2894976.

The previous prime is 10388107. The next prime is 10388143. The reversal of 10388112 is 21188301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14089 + ... + 14807.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 2^10388112 is an apocalyptic number.

10388112 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 10388112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

10388112 is an abundant number, since it is smaller than the sum of its proper divisors (21038448).

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

10388112 is a wasteful number, since it uses less digits than its factorization.

10388112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 10388112 is about 3223.0594161449. The cubic root of 10388112 is about 218.1953751677.

The spelling of 10388112 in words is "ten million, three hundred eighty-eight thousand, one hundred twelve".