10284300 has 144 divisors (see below), whose sum is σ = 35726880. Its totient is φ = 2522880.

The previous prime is 10284293. The next prime is 10284311. The reversal of 10284300 is 348201.

It is a happy number.

10284300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34954 + ... + 35246.

Almost surely, 2^10284300 is an apocalyptic number.

10284300 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 10284300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17863440).

10284300 is an abundant number, since it is smaller than the sum of its proper divisors (25442580).

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

10284300 is a wasteful number, since it uses less digits than its factorization.

10284300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10284300 is about 3206.9144048446. The cubic root of 10284300 is about 217.4661064903.

The spelling of 10284300 in words is "ten million, two hundred eighty-four thousand, three hundred".