105083283333 has 16 divisors (see below), whose sum is σ = 163533864960. Its totient is φ = 58769981616.

The previous prime is 105083283293. The next prime is 105083283367. The reversal of 105083283333 is 333382380501.

It is a happy number.

It is not a de Polignac number, because 105083283333 - 2⁸ = 105083283077 is a prime.

It is a super-2 number, since 2×105083283333² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105083283291 and 105083283300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105083183333) 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, 53232693 + ... + 53234666.

It is an arithmetic number, because the mean of its divisors is an integer number (10220866560).

Almost surely, 2^105083283333 is an apocalyptic number.

It is an amenable number.

105083283333 is a deficient number, since it is larger than the sum of its proper divisors (58450581627).

105083283333 is a wasteful number, since it uses less digits than its factorization.

105083283333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106467416.

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 105083283333 in words is "one hundred five billion, eighty-three million, two hundred eighty-three thousand, three hundred thirty-three".