10045301292 has 288 divisors, whose sum is σ = 31385715200. Its totient is φ = 2753823744.

The previous prime is 10045301239. The next prime is 10045301317. The reversal of 10045301292 is 29210354001.

10045301292 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 530 + 129 + 2 = 666.

10045301292 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 (27).

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 95 ways as a sum of consecutive naturals, for example, 7708713 + ... + 7710015.

Almost surely, 2^10045301292 is an apocalyptic number.

10045301292 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 10045301292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692857600).

10045301292 is an abundant number, since it is smaller than the sum of its proper divisors (21340413908).

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

10045301292 is a wasteful number, since it uses less digits than its factorization.

10045301292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10045301292 its reverse (29210354001), we get a palindrome (39255655293).

The spelling of 10045301292 in words is "ten billion, forty-five million, three hundred one thousand, two hundred ninety-two".