10284120 has 288 divisors, whose sum is σ = 43215120. Its totient is φ = 2096640.

The previous prime is 10284119. The next prime is 10284143. The reversal of 10284120 is 2148201.

10284120 is digitally balanced in base 2 and base 4, because in such bases 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 a junction number, because it is equal to n+sod(n) for n = 10284093 and 10284102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194014 + ... + 194066.

Almost surely, 2^10284120 is an apocalyptic number.

10284120 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 10284120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21607560).

10284120 is an abundant number, since it is smaller than the sum of its proper divisors (32931000).

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

10284120 is a wasteful number, since it uses less digits than its factorization.

10284120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10284120 is about 3206.8863403619. The cubic root of 10284120 is about 217.4648377561.

It can be divided in two parts, 10284 and 120, that added together give a square (10404 = 102²).

The spelling of 10284120 in words is "ten million, two hundred eighty-four thousand, one hundred twenty".