10523268 has 36 divisors (see below), whose sum is σ = 30401280. Its totient is φ = 3006576.

The previous prime is 10523251. The next prime is 10523329. The reversal of 10523268 is 86232501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10523268² = 221478338799648, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 20628 + ... + 21131.

It is an arithmetic number, because the mean of its divisors is an integer number (844480).

Almost surely, 2^10523268 is an apocalyptic number.

10523268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10523268 is an abundant number, since it is smaller than the sum of its proper divisors (19878012).

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

10523268 is a wasteful number, since it uses less digits than its factorization.

10523268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41776 (or 41771 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10523268 is about 3243.9586927086. The cubic root of 10523268 is about 219.1375879020.

Adding to 10523268 its reverse (86232501), we get a palindrome (96755769).

The spelling of 10523268 in words is "ten million, five hundred twenty-three thousand, two hundred sixty-eight".