10184268132 has 192 divisors, whose sum is σ = 28844605440. Its totient is φ = 3095050752.

The previous prime is 10184268089. The next prime is 10184268151. The reversal of 10184268132 is 23186248101.

10184268132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9232693 + ... + 9233795.

It is an arithmetic number, because the mean of its divisors is an integer number (150232320).

Almost surely, 2^10184268132 is an apocalyptic number.

10184268132 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 10184268132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422302720).

10184268132 is an abundant number, since it is smaller than the sum of its proper divisors (18660337308).

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

10184268132 is a wasteful number, since it uses less digits than its factorization.

10184268132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10184268132 in words is "ten billion, one hundred eighty-four million, two hundred sixty-eight thousand, one hundred thirty-two".