105671161601 has 2 divisors, whose sum is σ = 105671161602. Its totient is φ = 105671161600.

The previous prime is 105671161597. The next prime is 105671161663. The reversal of 105671161601 is 106161176501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73755696400 + 31915465201 = 271580^2 + 178649^2 .

It is a cyclic number.

It is not a de Polignac number, because 105671161601 - 2² = 105671161597 is a prime.

It is a super-2 number, since 2×105671161601² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105671163601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52835580800 + 52835580801.

It is an arithmetic number, because the mean of its divisors is an integer number (52835580801).

Almost surely, 2^105671161601 is an apocalyptic number.

It is an amenable number.

105671161601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105671161601 is an equidigital number, since it uses as much as digits as its factorization.

105671161601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 35.

The spelling of 105671161601 in words is "one hundred five billion, six hundred seventy-one million, one hundred sixty-one thousand, six hundred one".