10509904 has 20 divisors (see below), whose sum is σ = 20546676. Its totient is φ = 5207552.

The previous prime is 10509901. The next prime is 10509913. The reversal of 10509904 is 40990501.

It can be written as a sum of positive squares in 2 ways, for example, as 2958400 + 7551504 = 1720^2 + 2748^2 .

It is a super-2 number, since 2×10509904² = 220916164178432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1099 + ... + 4714.

Almost surely, 2^10509904 is an apocalyptic number.

It is an amenable number.

10509904 is a deficient number, since it is larger than the sum of its proper divisors (10036772).

10509904 is a wasteful number, since it uses less digits than its factorization.

10509904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 10509904 is about 3241.8982093829. The cubic root of 10509904 is about 219.0447841803.

The spelling of 10509904 in words is "ten million, five hundred nine thousand, nine hundred four".