12105632 has 96 divisors (see below), whose sum is σ = 31570560. Its totient is φ = 4439040.

The previous prime is 12105607. The next prime is 12105637. The reversal of 12105632 is 23650121.

12105632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12105632² = 293092652238848, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12105637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712088 + ... + 712104.

It is an arithmetic number, because the mean of its divisors is an integer number (328860).

Almost surely, 2^12105632 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 12105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785280).

12105632 is an abundant number, since it is smaller than the sum of its proper divisors (19464928).

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

12105632 is an equidigital number, since it uses as much as digits as its factorization.

12105632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 12105632 is about 3479.3148750868. The cubic root of 12105632 is about 229.6126561676.

Adding to 12105632 its reverse (23650121), we get a palindrome (35755753).

The spelling of 12105632 in words is "twelve million, one hundred five thousand, six hundred thirty-two".