10005042112 has 56 divisors (see below), whose sum is σ = 21438057200. Its totient is φ = 4605382656.

The previous prime is 10005042101. The next prime is 10005042133. The reversal of 10005042112 is 21124050001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299464 + ... + 331192.

It is an arithmetic number, because the mean of its divisors is an integer number (382822450).

Almost surely, 2^10005042112 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 10005042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10719028600).

10005042112 is an abundant number, since it is smaller than the sum of its proper divisors (11433015088).

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

10005042112 is a wasteful number, since it uses less digits than its factorization.

10005042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32133 (or 32123 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10005042112 its reverse (21124050001), we get a palindrome (31129092113).

The spelling of 10005042112 in words is "ten billion, five million, forty-two thousand, one hundred twelve".