105167967461 has 2 divisors, whose sum is σ = 105167967462. Its totient is φ = 105167967460.

The previous prime is 105167967433. The next prime is 105167967467. The reversal of 105167967461 is 164769761501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78564726436 + 26603241025 = 280294^2 + 163105^2 .

It is a cyclic number.

It is not a de Polignac number, because 105167967461 - 2⁶ = 105167967397 is a prime.

It is a super-2 number, since 2×105167967461² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105167967467) 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 as a sum of consecutive naturals, namely, 52583983730 + 52583983731.

It is an arithmetic number, because the mean of its divisors is an integer number (52583983731).

Almost surely, 2^105167967461 is an apocalyptic number.

It is an amenable number.

105167967461 is a deficient number, since it is larger than the sum of its proper divisors (1).

105167967461 is an equidigital number, since it uses as much as digits as its factorization.

105167967461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 105167967461 in words is "one hundred five billion, one hundred sixty-seven million, nine hundred sixty-seven thousand, four hundred sixty-one".