10067067104 has 48 divisors (see below), whose sum is σ = 20206292400. Its totient is φ = 4935742464.

The previous prime is 10067067097. The next prime is 10067067119. The reversal of 10067067104 is 40176076001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 765674 + ... + 778710.

It is an arithmetic number, because the mean of its divisors is an integer number (420964425).

Almost surely, 2^10067067104 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 10067067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10103146200).

10067067104 is an abundant number, since it is smaller than the sum of its proper divisors (10139225296).

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

10067067104 is a wasteful number, since it uses less digits than its factorization.

10067067104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13515 (or 13507 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 10067067104 in words is "ten billion, sixty-seven million, sixty-seven thousand, one hundred four".