10382642292 has 96 divisors (see below), whose sum is σ = 27803865600. Its totient is φ = 2986211200.

The previous prime is 10382642273. The next prime is 10382642317. The reversal of 10382642292 is 29224628301.

10382642292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10382642292.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 202867 + ... + 248837.

It is an arithmetic number, because the mean of its divisors is an integer number (289623600).

Almost surely, 2^10382642292 is an apocalyptic number.

10382642292 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 10382642292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13901932800).

10382642292 is an abundant number, since it is smaller than the sum of its proper divisors (17421223308).

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

10382642292 is a wasteful number, since it uses less digits than its factorization.

10382642292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46077 (or 46075 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 10382642292 in words is "ten billion, three hundred eighty-two million, six hundred forty-two thousand, two hundred ninety-two".