106315302305041 has 2 divisors, whose sum is σ = 106315302305042. Its totient is φ = 106315302305040.

The previous prime is 106315302305029. The next prime is 106315302305137. The reversal of 106315302305041 is 140503203513601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67413623936400 + 38901678368641 = 8210580^2 + 6237121^2 .

It is a cyclic number.

It is not a de Polignac number, because 106315302305041 - 2²¹ = 106315300207889 is a prime.

It is a super-2 number, since 2×106315302305041² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106315302304988 and 106315302305006.

It is not a weakly prime, because it can be changed into another prime (106315302305441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53157651152520 + 53157651152521.

It is an arithmetic number, because the mean of its divisors is an integer number (53157651152521).

Almost surely, 2^{106315302305041} is an apocalyptic number.

It is an amenable number.

106315302305041 is a deficient number, since it is larger than the sum of its proper divisors (1).

106315302305041 is an equidigital number, since it uses as much as digits as its factorization.

106315302305041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 106315302305041 its reverse (140503203513601), we get a palindrome (246818505818642).

The spelling of 106315302305041 in words is "one hundred six trillion, three hundred fifteen billion, three hundred two million, three hundred five thousand, forty-one".