10404 has 27 divisors (see below), whose sum is σ = 27937. Its totient is φ = 3264.

The previous prime is 10399. The next prime is 10427. The reversal of 10404 is 40401.

10404 = T_{101} + T_{102}.

The square root of 10404 is 102.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 2304 = 90^2 + 48^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 604 + ... + 620.

2^{10404} is an apocalyptic number.

10404 is the 102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404

10404 is an abundant number, since it is smaller than the sum of its proper divisors (17533).

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

10404 is a wasteful number, since it uses less digits than its factorization.

10404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The cubic root of 10404 is about 21.8306557458.

Multiplying 10404 by its product of nonzero digits (16), we get a square (166464 = 408^{2}).

Adding to 10404 its reverse (40401), we get a palindrome (50805).

Multiplying 10404 by its reverse (40401), we get a square (420332004 = 20502^{2}).

It can be divided in two parts, 10 and 404, that added together give a palindrome (414).

The spelling of 10404 in words is "ten thousand, four hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404

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