105905723671 has 16 divisors (see below), whose sum is σ = 118912421376. Its totient is φ = 93484440000.

The previous prime is 105905723669. The next prime is 105905723687. The reversal of 105905723671 is 176327509501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105905723671 - 2¹ = 105905723669 is a prime.

It is a super-2 number, since 2×105905723671² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105905723611) 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 15 ways as a sum of consecutive naturals, for example, 461295 + ... + 651616.

It is an arithmetic number, because the mean of its divisors is an integer number (7432026336).

Almost surely, 2^105905723671 is an apocalyptic number.

105905723671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105905723671 is a deficient number, since it is larger than the sum of its proper divisors (13006697705).

105905723671 is a wasteful number, since it uses less digits than its factorization.

105905723671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113174.

The product of its (nonzero) digits is 396900, while the sum is 46.

The spelling of 105905723671 in words is "one hundred five billion, nine hundred five million, seven hundred twenty-three thousand, six hundred seventy-one".