106115016173 has 2 divisors, whose sum is σ = 106115016174. Its totient is φ = 106115016172.

The previous prime is 106115016167. The next prime is 106115016179. The reversal of 106115016173 is 371610511601.

It is a balanced prime because it is at equal distance from previous prime (106115016167) and next prime (106115016179).

It can be written as a sum of positive squares in only one way, i.e., 65447453929 + 40667562244 = 255827^2 + 201662^2 .

It is a cyclic number.

It is not a de Polignac number, because 106115016173 - 2⁸ = 106115015917 is a prime.

It is a super-2 number, since 2×106115016173² (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 (106115016179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53057508086 + 53057508087.

It is an arithmetic number, because the mean of its divisors is an integer number (53057508087).

Almost surely, 2^106115016173 is an apocalyptic number.

It is an amenable number.

106115016173 is a deficient number, since it is larger than the sum of its proper divisors (1).

106115016173 is an equidigital number, since it uses as much as digits as its factorization.

106115016173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 32.

Adding to 106115016173 its reverse (371610511601), we get a palindrome (477725527774).

The spelling of 106115016173 in words is "one hundred six billion, one hundred fifteen million, sixteen thousand, one hundred seventy-three".