105421313664015 has 16 divisors (see below), whose sum is σ = 170706319959168. Its totient is φ = 55547294588576.

The previous prime is 105421313664013. The next prime is 105421313664067. The reversal of 105421313664015 is 510466313124501.

It is a cyclic number.

It is not a de Polignac number, because 105421313664015 - 2¹ = 105421313664013 is a prime.

It is a super-2 number, since 2×105421313664015² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105421313664013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42337875729 + ... + 42337878218.

It is an arithmetic number, because the mean of its divisors is an integer number (10669144997448).

Almost surely, 2^{105421313664015} is an apocalyptic number.

105421313664015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105421313664015 is a deficient number, since it is larger than the sum of its proper divisors (65285006295153).

105421313664015 is an equidigital number, since it uses as much as digits as its factorization.

105421313664015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84675754038.

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 105421313664015 its reverse (510466313124501), we get a palindrome (615887626788516).

The spelling of 105421313664015 in words is "one hundred five trillion, four hundred twenty-one billion, three hundred thirteen million, six hundred sixty-four thousand, fifteen".