105381679105 has 8 divisors (see below), whose sum is σ = 131956189632. Its totient is φ = 80639893488.

The previous prime is 105381679069. The next prime is 105381679129. The reversal of 105381679105 is 501976183501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105381679105 - 2⁷ = 105381678977 is a prime.

It is a super-2 number, since 2×105381679105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458181099 + ... + 458181328.

It is an arithmetic number, because the mean of its divisors is an integer number (16494523704).

Almost surely, 2^105381679105 is an apocalyptic number.

It is an amenable number.

105381679105 is a deficient number, since it is larger than the sum of its proper divisors (26574510527).

105381679105 is an equidigital number, since it uses as much as digits as its factorization.

105381679105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916362455.

The product of its (nonzero) digits is 226800, while the sum is 46.

The spelling of 105381679105 in words is "one hundred five billion, three hundred eighty-one million, six hundred seventy-nine thousand, one hundred five".