10523136 has 160 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 2949120.

The previous prime is 10523113. The next prime is 10523137. The reversal of 10523136 is 63132501.

It is a super-2 number, since 2×10523136² = 221472782548992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10523137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 339441 + ... + 339471.

Almost surely, 2^10523136 is an apocalyptic number.

10523136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

10523136 is an abundant number, since it is smaller than the sum of its proper divisors (22474752).

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

10523136 is a wasteful number, since it uses less digits than its factorization.

10523136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 10523136 is about 3243.9383471330. The cubic root of 10523136 is about 219.1366716377.

Adding to 10523136 its reverse (63132501), we get a palindrome (73655637).

The spelling of 10523136 in words is "ten million, five hundred twenty-three thousand, one hundred thirty-six".