105122436330215 has 16 divisors (see below), whose sum is σ = 126653880938400. Its totient is φ = 83760644777472.

The previous prime is 105122436330211. The next prime is 105122436330229. The reversal of 105122436330215 is 512033634221501.

It is a cyclic number.

It is not a de Polignac number, because 105122436330215 - 2² = 105122436330211 is a prime.

It is a super-2 number, since 2×105122436330215² (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 (105122436330211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40443830 + ... + 42964499.

It is an arithmetic number, because the mean of its divisors is an integer number (7915867558650).

Almost surely, 2^{105122436330215} is an apocalyptic number.

105122436330215 is a deficient number, since it is larger than the sum of its proper divisors (21531444608185).

105122436330215 is an equidigital number, since it uses as much as digits as its factorization.

105122436330215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83409346.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 105122436330215 in words is "one hundred five trillion, one hundred twenty-two billion, four hundred thirty-six million, three hundred thirty thousand, two hundred fifteen".