10381800 has 192 divisors, whose sum is σ = 38122560. Its totient is φ = 2323200.

The previous prime is 10381769. The next prime is 10381801. The reversal of 10381800 is 818301.

10381800 = 150² + 151² + ... + 325².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10381801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798594 + ... + 798606.

It is an arithmetic number, because the mean of its divisors is an integer number (198555).

Almost surely, 2^10381800 is an apocalyptic number.

10381800 is a gapful number since it is divisible by the number (10) 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 10381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061280).

10381800 is an abundant number, since it is smaller than the sum of its proper divisors (27740760).

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

10381800 is a wasteful number, since it uses less digits than its factorization.

10381800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10381800 is about 3222.0800734929. The cubic root of 10381800 is about 218.1511730949.

The spelling of 10381800 in words is "ten million, three hundred eighty-one thousand, eight hundred".