106013317 has 2 divisors, whose sum is σ = 106013318. Its totient is φ = 106013316.

The previous prime is 106013269. The next prime is 106013333. The reversal of 106013317 is 713310601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91221601 + 14791716 = 9551^2 + 3846^2 .

It is an emirp because it is prime and its reverse (713310601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106013317 is a prime.

It is a super-2 number, since 2×106013317² = 22477646762684978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106013617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53006658 + 53006659.

It is an arithmetic number, because the mean of its divisors is an integer number (53006659).

Almost surely, 2^106013317 is an apocalyptic number.

It is an amenable number.

106013317 is a deficient number, since it is larger than the sum of its proper divisors (1).

106013317 is an equidigital number, since it uses as much as digits as its factorization.

106013317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 106013317 is about 10296.2768513672. The cubic root of 106013317 is about 473.2821672635.

Adding to 106013317 its reverse (713310601), we get a palindrome (819323918).

The spelling of 106013317 in words is "one hundred six million, thirteen thousand, three hundred seventeen".