105808333081 has 16 divisors (see below), whose sum is σ = 122233295808. Its totient is φ = 90519206400.

The previous prime is 105808332997. The next prime is 105808333093. The reversal of 105808333081 is 180333808501.

It is not a de Polignac number, because 105808333081 - 2¹¹ = 105808331033 is a prime.

It is a super-2 number, since 2×105808333081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105808333181) 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, 1560226 + ... + 1626628.

It is an arithmetic number, because the mean of its divisors is an integer number (7639580988).

Almost surely, 2^105808333081 is an apocalyptic number.

105808333081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105808333081 is a deficient number, since it is larger than the sum of its proper divisors (16424962727).

105808333081 is a wasteful number, since it uses less digits than its factorization.

105808333081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74952.

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 105808333081 in words is "one hundred five billion, eight hundred eight million, three hundred thirty-three thousand, eighty-one".