105855560607509 has 2 divisors, whose sum is σ = 105855560607510. Its totient is φ = 105855560607508.

The previous prime is 105855560607499. The next prime is 105855560607571. The reversal of 105855560607509 is 905706065558501.

It is a happy number.

It is an a-pointer prime, because the next prime (105855560607571) can be obtained adding 105855560607509 to its sum of digits (62).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66238795793284 + 39616764814225 = 8138722^2 + 6294185^2 .

It is a cyclic number.

It is not a de Polignac number, because 105855560607509 - 2¹² = 105855560603413 is a prime.

It is a super-2 number, since 2×105855560607509² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105855560507509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52927780303754 + 52927780303755.

It is an arithmetic number, because the mean of its divisors is an integer number (52927780303755).

Almost surely, 2^{105855560607509} is an apocalyptic number.

It is an amenable number.

105855560607509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105855560607509 is an equidigital number, since it uses as much as digits as its factorization.

105855560607509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700000, while the sum is 62.

The spelling of 105855560607509 in words is "one hundred five trillion, eight hundred fifty-five billion, five hundred sixty million, six hundred seven thousand, five hundred nine".