10281024 has 84 divisors (see below), whose sum is σ = 31758636. Its totient is φ = 3161088.

The previous prime is 10281017. The next prime is 10281041. The reversal of 10281024 is 42018201.

It can be written as a sum of positive squares in 2 ways, for example, as 6594624 + 3686400 = 2568^2 + 1920^2 .

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 = 10280988 and 10281006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6802 + ... + 8174.

It is an arithmetic number, because the mean of its divisors is an integer number (378079).

Almost surely, 2^10281024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10281024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15879318).

10281024 is an abundant number, since it is smaller than the sum of its proper divisors (21477612).

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

10281024 is a wasteful number, since it uses less digits than its factorization.

10281024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1391 counting only the distinct ones).

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

The square root of 10281024 is about 3206.4035928124. The cubic root of 10281024 is about 217.4430132114.

Adding to 10281024 its reverse (42018201), we get a palindrome (52299225).

The spelling of 10281024 in words is "ten million, two hundred eighty-one thousand, twenty-four".