105813862342715 has 16 divisors (see below), whose sum is σ = 127825502035872. Its totient is φ = 84085516779264.

The previous prime is 105813862342711. The next prime is 105813862342733. The reversal of 105813862342715 is 517243268318501.

It is a cyclic number.

It is not a de Polignac number, because 105813862342715 - 2² = 105813862342711 is a prime.

It is a super-2 number, since 2×105813862342715² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105813862342711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18645794 + ... + 23649383.

It is an arithmetic number, because the mean of its divisors is an integer number (7989093877242).

Almost surely, 2^{105813862342715} is an apocalyptic number.

105813862342715 is a deficient number, since it is larger than the sum of its proper divisors (22011639693157).

105813862342715 is a wasteful number, since it uses less digits than its factorization.

105813862342715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42298526.

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 105813862342715 in words is "one hundred five trillion, eight hundred thirteen billion, eight hundred sixty-two million, three hundred forty-two thousand, seven hundred fifteen".