105401161067 has 2 divisors, whose sum is σ = 105401161068. Its totient is φ = 105401161066.

The previous prime is 105401161039. The next prime is 105401161069. The reversal of 105401161067 is 760161104501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105401161067 - 2¹⁰ = 105401160043 is a prime.

It is a super-2 number, since 2×105401161067² (a number of 23 digits) contains 22 as substring.

Together with 105401161069, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105401161069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52700580533 + 52700580534.

It is an arithmetic number, because the mean of its divisors is an integer number (52700580534).

Almost surely, 2^105401161067 is an apocalyptic number.

105401161067 is a deficient number, since it is larger than the sum of its proper divisors (1).

105401161067 is an equidigital number, since it uses as much as digits as its factorization.

105401161067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 32.

Adding to 105401161067 its reverse (760161104501), we get a palindrome (865562265568).

The spelling of 105401161067 in words is "one hundred five billion, four hundred one million, one hundred sixty-one thousand, sixty-seven".