105865178011723 has 12 divisors (see below), whose sum is σ = 114635609399640. Its totient is φ = 97721246727936.

The previous prime is 105865178011679. The next prime is 105865178011739. The reversal of 105865178011723 is 327110871568501.

It is a happy number.

It is not a de Polignac number, because 105865178011723 - 2⁹ = 105865178011211 is a prime.

It is a super-2 number, since 2×105865178011723² (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 (105865178011783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38001115 + ... + 40691707.

It is an arithmetic number, because the mean of its divisors is an integer number (9552967449970).

Almost surely, 2^{105865178011723} is an apocalyptic number.

105865178011723 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105865178011723 is a deficient number, since it is larger than the sum of its proper divisors (8770431387917).

105865178011723 is a wasteful number, since it uses less digits than its factorization.

105865178011723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923438 (or 2923425 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 55.

The spelling of 105865178011723 in words is "one hundred five trillion, eight hundred sixty-five billion, one hundred seventy-eight million, eleven thousand, seven hundred twenty-three".