10552032 has 144 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3307392.

The previous prime is 10552021. The next prime is 10552037. The reversal of 10552032 is 23025501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10552032² = 222690758658048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10551996 and 10552014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 178819 + ... + 178877.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^10552032 is an apocalyptic number.

10552032 is a gapful number since it is divisible by the number (12) 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 10552032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

10552032 is an abundant number, since it is smaller than the sum of its proper divisors (22470048).

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

10552032 is an equidigital number, since it uses as much as digits as its factorization.

10552032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 10552032 is about 3248.3891392504. The cubic root of 10552032 is about 219.3370677347.

Adding to 10552032 its reverse (23025501), we get a palindrome (33577533).

The spelling of 10552032 in words is "ten million, five hundred fifty-two thousand, thirty-two".