10281120 has 48 divisors (see below), whose sum is σ = 32387040. Its totient is φ = 2741504.

The previous prime is 10281113. The next prime is 10281121. The reversal of 10281120 is 2118201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10281120³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10281120.

It is not an unprimeable number, because it can be changed into a prime (10281121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10230 + ... + 11189.

It is an arithmetic number, because the mean of its divisors is an integer number (674730).

Almost surely, 2^10281120 is an apocalyptic number.

10281120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10281120 is an abundant number, since it is smaller than the sum of its proper divisors (22105920).

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

10281120 is a wasteful number, since it uses less digits than its factorization.

10281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21437 (or 21429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 10281120 is about 3206.4185628205. The cubic root of 10281120 is about 217.4436900073.

Adding to 10281120 its reverse (2118201), we get a palindrome (12399321).

It can be divided in two parts, 102811 and 20, that added together give a triangular number (102831 = T₄₅₃).

The spelling of 10281120 in words is "ten million, two hundred eighty-one thousand, one hundred twenty".