106502170513 has 2 divisors, whose sum is σ = 106502170514. Its totient is φ = 106502170512.

The previous prime is 106502170493. The next prime is 106502170529. The reversal of 106502170513 is 315071205601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103177148944 + 3325021569 = 321212^2 + 57663^2 .

It is an emirp because it is prime and its reverse (315071205601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106502170513 - 2¹³ = 106502162321 is a prime.

It is a super-2 number, since 2×106502170513² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106502170573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53251085256 + 53251085257.

It is an arithmetic number, because the mean of its divisors is an integer number (53251085257).

Almost surely, 2^106502170513 is an apocalyptic number.

It is an amenable number.

106502170513 is a deficient number, since it is larger than the sum of its proper divisors (1).

106502170513 is an equidigital number, since it uses as much as digits as its factorization.

106502170513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 106502170513 in words is "one hundred six billion, five hundred two million, one hundred seventy thousand, five hundred thirteen".