10067067105 has 16 divisors (see below), whose sum is σ = 16662732480. Its totient is φ = 5183960768.

The previous prime is 10067067097. The next prime is 10067067119. The reversal of 10067067105 is 50176076001.

It is a cyclic number.

It is not a de Polignac number, because 10067067105 - 2³ = 10067067097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11570907 + ... + 11571776.

It is an arithmetic number, because the mean of its divisors is an integer number (1041420780).

Almost surely, 2^10067067105 is an apocalyptic number.

10067067105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10067067105 is a deficient number, since it is larger than the sum of its proper divisors (6595665375).

10067067105 is a wasteful number, since it uses less digits than its factorization.

10067067105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23142720.

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 10067067105 in words is "ten billion, sixty-seven million, sixty-seven thousand, one hundred five".