106072313117 has 2 divisors, whose sum is σ = 106072313118. Its totient is φ = 106072313116.

The previous prime is 106072313069. The next prime is 106072313173. The reversal of 106072313117 is 711313270601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70023215161 + 36049097956 = 264619^2 + 189866^2 .

It is a cyclic number.

It is not a de Polignac number, because 106072313117 - 2⁸ = 106072312861 is a prime.

It is a super-2 number, since 2×106072313117² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106072313177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53036156558 + 53036156559.

It is an arithmetic number, because the mean of its divisors is an integer number (53036156559).

Almost surely, 2^106072313117 is an apocalyptic number.

It is an amenable number.

106072313117 is a deficient number, since it is larger than the sum of its proper divisors (1).

106072313117 is an equidigital number, since it uses as much as digits as its factorization.

106072313117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 32.

Adding to 106072313117 its reverse (711313270601), we get a palindrome (817385583718).

The spelling of 106072313117 in words is "one hundred six billion, seventy-two million, three hundred thirteen thousand, one hundred seventeen".