105413643105 has 16 divisors (see below), whose sum is σ = 169147894464. Its totient is φ = 56058587840.

The previous prime is 105413643067. The next prime is 105413643109. The reversal of 105413643105 is 501346314501.

It is a happy number.

It is not a de Polignac number, because 105413643105 - 2⁷ = 105413642977 is a prime.

It is a super-2 number, since 2×105413643105² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105413643109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10120986 + ... + 10131395.

It is an arithmetic number, because the mean of its divisors is an integer number (10571743404).

Almost surely, 2^105413643105 is an apocalyptic number.

105413643105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105413643105 is a deficient number, since it is larger than the sum of its proper divisors (63734251359).

105413643105 is a wasteful number, since it uses less digits than its factorization.

105413643105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20252736.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 105413643105 its reverse (501346314501), we get a palindrome (606759957606).

The spelling of 105413643105 in words is "one hundred five billion, four hundred thirteen million, six hundred forty-three thousand, one hundred five".