10281800 has 48 divisors (see below), whose sum is σ = 24189300. Its totient is φ = 4064000.

The previous prime is 10281781. The next prime is 10281809. The reversal of 10281800 is 818201.

It can be written as a sum of positive squares in 6 ways, for example, as 8213956 + 2067844 = 2866^2 + 1438^2 .

It is a super-2 number, since 2×10281800² = 211430822480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10281809) 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 11 ways as a sum of consecutive naturals, for example, 19946 + ... + 20454.

Almost surely, 2^10281800 is an apocalyptic number.

10281800 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 10281800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12094650).

10281800 is an abundant number, since it is smaller than the sum of its proper divisors (13907500).

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

10281800 is a wasteful number, since it uses less digits than its factorization.

10281800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 10281800 is about 3206.5245983775. The cubic root of 10281800 is about 217.4484838575.

The spelling of 10281800 in words is "ten million, two hundred eighty-one thousand, eight hundred".