105601215413 has 2 divisors, whose sum is σ = 105601215414. Its totient is φ = 105601215412.

The previous prime is 105601215341. The next prime is 105601215449. The reversal of 105601215413 is 314512106501.

Together with previous prime (105601215341) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68020291249 + 37580924164 = 260807^2 + 193858^2 .

It is a cyclic number.

It is not a de Polignac number, because 105601215413 - 2¹⁶ = 105601149877 is a prime.

It is a super-2 number, since 2×105601215413² (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 (105601215493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800607706 + 52800607707.

It is an arithmetic number, because the mean of its divisors is an integer number (52800607707).

Almost surely, 2^105601215413 is an apocalyptic number.

It is an amenable number.

105601215413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601215413 is an equidigital number, since it uses as much as digits as its factorization.

105601215413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 105601215413 in words is "one hundred five billion, six hundred one million, two hundred fifteen thousand, four hundred thirteen".