10034301432 has 128 divisors (see below), whose sum is σ = 27494611200. Its totient is φ = 3040478208.

The previous prime is 10034301427. The next prime is 10034301437. The reversal of 10034301432 is 23410343001.

10034301432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10034301427) and next prime (10034301437).

It is a junction number, because it is equal to n+sod(n) for n = 10034301399 and 10034301408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034301437) 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, 1227583 + ... + 1235729.

It is an arithmetic number, because the mean of its divisors is an integer number (214801650).

Almost surely, 2^10034301432 is an apocalyptic number.

10034301432 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 10034301432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13747305600).

10034301432 is an abundant number, since it is smaller than the sum of its proper divisors (17460309768).

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

10034301432 is a wasteful number, since it uses less digits than its factorization.

10034301432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10034301432 its reverse (23410343001), we get a palindrome (33444644433).

The spelling of 10034301432 in words is "ten billion, thirty-four million, three hundred one thousand, four hundred thirty-two".