10405168097 has 2 divisors, whose sum is σ = 10405168098. Its totient is φ = 10405168096.

The previous prime is 10405168061. The next prime is 10405168133. The reversal of 10405168097 is 79086150401.

It is a balanced prime because it is at equal distance from previous prime (10405168061) and next prime (10405168133).

It can be written as a sum of positive squares in only one way, i.e., 10230108736 + 175059361 = 101144^2 + 13231^2 .

It is a cyclic number.

It is not a de Polignac number, because 10405168097 - 2²⁶ = 10338059233 is a prime.

It is not a weakly prime, because it can be changed into another prime (10405168057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202584048 + 5202584049.

It is an arithmetic number, because the mean of its divisors is an integer number (5202584049).

Almost surely, 2^10405168097 is an apocalyptic number.

It is an amenable number.

10405168097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405168097 is an equidigital number, since it uses as much as digits as its factorization.

10405168097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 10405168097 in words is "ten billion, four hundred five million, one hundred sixty-eight thousand, ninety-seven".