106125463217 has 2 divisors, whose sum is σ = 106125463218. Its totient is φ = 106125463216.

The previous prime is 106125463181. The next prime is 106125463229. The reversal of 106125463217 is 712364521601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89558941696 + 16566521521 = 299264^2 + 128711^2 .

It is a cyclic number.

It is not a de Polignac number, because 106125463217 - 2⁶ = 106125463153 is a prime.

It is a super-2 number, since 2×106125463217² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106125469217) 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, 53062731608 + 53062731609.

It is an arithmetic number, because the mean of its divisors is an integer number (53062731609).

Almost surely, 2^106125463217 is an apocalyptic number.

It is an amenable number.

106125463217 is a deficient number, since it is larger than the sum of its proper divisors (1).

106125463217 is an equidigital number, since it uses as much as digits as its factorization.

106125463217 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 38.

Adding to 106125463217 its reverse (712364521601), we get a palindrome (818489984818).

The spelling of 106125463217 in words is "one hundred six billion, one hundred twenty-five million, four hundred sixty-three thousand, two hundred seventeen".