10034203144 has 96 divisors (see below), whose sum is σ = 22207236480. Its totient is φ = 4237664256.

The previous prime is 10034203133. The next prime is 10034203171. The reversal of 10034203144 is 44130243001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10376149 + ... + 10377115.

It is an arithmetic number, because the mean of its divisors is an integer number (231325380).

Almost surely, 2^10034203144 is an apocalyptic number.

10034203144 is a gapful number since it is divisible by the number (14) 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 10034203144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11103618240).

10034203144 is an abundant number, since it is smaller than the sum of its proper divisors (12173033336).

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

10034203144 is a wasteful number, since it uses less digits than its factorization.

10034203144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10034203144 its reverse (44130243001), we get a palindrome (54164446145).

The spelling of 10034203144 in words is "ten billion, thirty-four million, two hundred three thousand, one hundred forty-four".