105252671067001 has 4 divisors (see below), whose sum is σ = 105492426582400. Its totient is φ = 105012915551604.

The previous prime is 105252671066971. The next prime is 105252671067007. The reversal of 105252671067001 is 100760176252501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105252671067001 - 2²⁹ = 105252134196089 is a prime.

It is a super-2 number, since 2×105252671067001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105252671067007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119877757041 + ... + 119877757918.

It is an arithmetic number, because the mean of its divisors is an integer number (26373106645600).

Almost surely, 2^{105252671067001} is an apocalyptic number.

It is an amenable number.

105252671067001 is a deficient number, since it is larger than the sum of its proper divisors (239755515399).

105252671067001 is an equidigital number, since it uses as much as digits as its factorization.

105252671067001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239755515398.

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 105252671067001 in words is "one hundred five trillion, two hundred fifty-two billion, six hundred seventy-one million, sixty-seven thousand, one".