10034004100 has 72 divisors (see below), whose sum is σ = 22390594688. Its totient is φ = 3900182400.

The previous prime is 10034004037. The next prime is 10034004109. The reversal of 10034004100 is 140043001.

It is not an unprimeable number, because it can be changed into a prime (10034004109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4553599 + ... + 4555801.

Almost surely, 2^10034004100 is an apocalyptic number.

10034004100 is a gapful number since it is divisible by the number (10) 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 10034004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195297344).

10034004100 is an abundant number, since it is smaller than the sum of its proper divisors (12356590588).

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

10034004100 is a wasteful number, since it uses less digits than its factorization.

10034004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10034004100 its reverse (140043001), we get a palindrome (10174047101).

The spelling of 10034004100 in words is "ten billion, thirty-four million, four thousand, one hundred".