10531904 has 42 divisors (see below), whose sum is σ = 21636990. Its totient is φ = 5085696.

The previous prime is 10531889. The next prime is 10531921. The reversal of 10531904 is 40913501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7573504 + 2958400 = 2752^2 + 1720^2 .

It is a super-2 number, since 2×10531904² = 221842003730432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10531904.

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 5 ways as a sum of consecutive naturals, for example, 118292 + ... + 118380.

Almost surely, 2^10531904 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 10531904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10818495).

10531904 is an abundant number, since it is smaller than the sum of its proper divisors (11105086).

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

10531904 is an frugal number, since it uses more digits than its factorization.

10531904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 10531904 is about 3245.2895094275. The cubic root of 10531904 is about 219.1975171545.

The spelling of 10531904 in words is "ten million, five hundred thirty-one thousand, nine hundred four".