105967164817 has 2 divisors, whose sum is σ = 105967164818. Its totient is φ = 105967164816.

The previous prime is 105967164803. The next prime is 105967164827. The reversal of 105967164817 is 718461769501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55302106896 + 50665057921 = 235164^2 + 225089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105967164817 is a prime.

It is a super-2 number, since 2×105967164817² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105967164827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52983582408 + 52983582409.

It is an arithmetic number, because the mean of its divisors is an integer number (52983582409).

Almost surely, 2^105967164817 is an apocalyptic number.

It is an amenable number.

105967164817 is a deficient number, since it is larger than the sum of its proper divisors (1).

105967164817 is an equidigital number, since it uses as much as digits as its factorization.

105967164817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 105967164817 in words is "one hundred five billion, nine hundred sixty-seven million, one hundred sixty-four thousand, eight hundred seventeen".