105722166201 has 16 divisors (see below), whose sum is σ = 149264323200. Its totient is φ = 66331254528.

The previous prime is 105722166169. The next prime is 105722166211. The reversal of 105722166201 is 102661227501.

It is not a de Polignac number, because 105722166201 - 2⁵ = 105722166169 is a prime.

It is a super-2 number, since 2×105722166201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105722166211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872820 + ... + 986538.

It is an arithmetic number, because the mean of its divisors is an integer number (9329020200).

Almost surely, 2^105722166201 is an apocalyptic number.

It is an amenable number.

105722166201 is a deficient number, since it is larger than the sum of its proper divisors (43542156999).

105722166201 is a wasteful number, since it uses less digits than its factorization.

105722166201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131968.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 105722166201 in words is "one hundred five billion, seven hundred twenty-two million, one hundred sixty-six thousand, two hundred one".