10034920128 has 112 divisors (see below), whose sum is σ = 27061119360. Its totient is φ = 3280932864.

The previous prime is 10034920117. The next prime is 10034920151. The reversal of 10034920128 is 82102943001.

It is a junction number, because it is equal to n+sod(n) for n = 10034920095 and 10034920104.

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 15 ways as a sum of consecutive naturals, for example, 7736376 + ... + 7737672.

Almost surely, 2^10034920128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530559680).

10034920128 is an abundant number, since it is smaller than the sum of its proper divisors (17026199232).

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

10034920128 is a wasteful number, since it uses less digits than its factorization.

10034920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 10034920128 in words is "ten billion, thirty-four million, nine hundred twenty thousand, one hundred twenty-eight".