105361861806465 has 64 divisors (see below), whose sum is σ = 185262445983744. Its totient is φ = 50707800000000.

The previous prime is 105361861806437. The next prime is 105361861806473. The reversal of 105361861806465 is 564608168163501.

It is not a de Polignac number, because 105361861806465 - 2⁹ = 105361861805953 is a prime.

It is a super-2 number, since 2×105361861806465² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105361861806399 and 105361861806408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31312090 + ... + 34513340.

It is an arithmetic number, because the mean of its divisors is an integer number (2894725718496).

Almost surely, 2^{105361861806465} is an apocalyptic number.

105361861806465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105361861806465 is a deficient number, since it is larger than the sum of its proper divisors (79900584177279).

105361861806465 is a wasteful number, since it uses less digits than its factorization.

105361861806465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202742.

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 105361861806465 in words is "one hundred five trillion, three hundred sixty-one billion, eight hundred sixty-one million, eight hundred six thousand, four hundred sixty-five".