10821024 has 36 divisors (see below), whose sum is σ = 30773106. Its totient is φ = 3606912.

The previous prime is 10821001. The next prime is 10821037. The reversal of 10821024 is 42012801.

It can be written as a sum of positive squares in only one way, i.e., 6411024 + 4410000 = 2532^2 + 2100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10820988 and 10821006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18499 + ... + 19074.

Almost surely, 2^10821024 is an apocalyptic number.

It is an amenable number.

10821024 is an abundant number, since it is smaller than the sum of its proper divisors (19952082).

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

10821024 is a wasteful number, since it uses less digits than its factorization.

10821024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37589 (or 37578 counting only the distinct ones).

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

The square root of 10821024 is about 3289.5324895796. The cubic root of 10821024 is about 221.1852285741.

Adding to 10821024 its reverse (42012801), we get a palindrome (52833825).

The spelling of 10821024 in words is "ten million, eight hundred twenty-one thousand, twenty-four".