10003142034 has 64 divisors (see below), whose sum is σ = 22792855680. Its totient is φ = 3249987840.

The previous prime is 10003142033. The next prime is 10003142077. The reversal of 10003142034 is 43024130001.

10003142034 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 10003141998 and 10003142016.

It is not an unprimeable number, because it can be changed into a prime (10003142033) by changing a digit.

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, 4411369 + ... + 4413635.

It is an arithmetic number, because the mean of its divisors is an integer number (356138370).

Almost surely, 2^10003142034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003142034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11396427840).

10003142034 is an abundant number, since it is smaller than the sum of its proper divisors (12789713646).

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

10003142034 is a wasteful number, since it uses less digits than its factorization.

10003142034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4306 counting only the distinct ones).

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

Adding to 10003142034 its reverse (43024130001), we get a palindrome (53027272035).

The spelling of 10003142034 in words is "ten billion, three million, one hundred forty-two thousand, thirty-four".