10821904 has 20 divisors (see below), whose sum is σ = 21124764. Its totient is φ = 5370368.

The previous prime is 10821893. The next prime is 10821913. The reversal of 10821904 is 40912801.

10821904 = T₃₂₇ + T₃₂₈ + ... + T₄₆₃.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 5290000 = 2352^2 + 2300^2 .

It is a super-2 number, since 2×10821904² = 234227212370432, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277 + ... + 4660.

Almost surely, 2^10821904 is an apocalyptic number.

It is an amenable number.

10821904 is a deficient number, since it is larger than the sum of its proper divisors (10302860).

10821904 is a wasteful number, since it uses less digits than its factorization.

10821904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 10821904 is about 3289.6662444692. Note that the first 3 decimals coincide. The cubic root of 10821904 is about 221.1912242397.

It can be divided in two parts, 108 and 21904, that multiplied together give a palindrome (2365632).

The spelling of 10821904 in words is "ten million, eight hundred twenty-one thousand, nine hundred four".