105805252833 has 16 divisors (see below), whose sum is σ = 161235580800. Its totient is φ = 60456946176.

The previous prime is 105805252831. The next prime is 105805252841. The reversal of 105805252833 is 338252508501.

It is a happy number.

It is not a de Polignac number, because 105805252833 - 2¹ = 105805252831 is a prime.

It is a super-2 number, since 2×105805252833² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105805252831) 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, 306993 + ... + 553041.

It is an arithmetic number, because the mean of its divisors is an integer number (10077223800).

Almost surely, 2^105805252833 is an apocalyptic number.

It is an amenable number.

105805252833 is a deficient number, since it is larger than the sum of its proper divisors (55430327967).

105805252833 is a wasteful number, since it uses less digits than its factorization.

105805252833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266536.

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 105805252833 in words is "one hundred five billion, eight hundred five million, two hundred fifty-two thousand, eight hundred thirty-three".