10032132024 has 96 divisors (see below), whose sum is σ = 27667785600. Its totient is φ = 3282976320.

The previous prime is 10032132007. The next prime is 10032132029. The reversal of 10032132024 is 42023123001.

10032132024 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 320 + 24 = 666.

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 = 10032131988 and 10032132006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032132029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5194339 + ... + 5196269.

It is an arithmetic number, because the mean of its divisors is an integer number (288206100).

Almost surely, 2^10032132024 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 10032132024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833892800).

10032132024 is an abundant number, since it is smaller than the sum of its proper divisors (17635653576).

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

10032132024 is a wasteful number, since it uses less digits than its factorization.

10032132024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10032132024 its reverse (42023123001), we get a palindrome (52055255025).

The spelling of 10032132024 in words is "ten billion, thirty-two million, one hundred thirty-two thousand, twenty-four".