10523904 has 72 divisors (see below), whose sum is σ = 28550592. Its totient is φ = 3440640.

The previous prime is 10523881. The next prime is 10523917. The reversal of 10523904 is 40932501.

It is a super-2 number, since 2×10523904² = 221505110802432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54432 + ... + 54624.

It is an arithmetic number, because the mean of its divisors is an integer number (396536).

Almost surely, 2^10523904 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 10523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275296).

10523904 is an abundant number, since it is smaller than the sum of its proper divisors (18026688).

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

10523904 is an equidigital number, since it uses as much as digits as its factorization.

10523904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 10523904 is about 3244.0567196028. The cubic root of 10523904 is about 219.1420025223.

It can be divided in two parts, 105 and 23904, that multiplied together give a triangular number (2509920 = T₂₂₄₀).

The spelling of 10523904 in words is "ten million, five hundred twenty-three thousand, nine hundred four".