105767089233 has 16 divisors (see below), whose sum is σ = 159863887680. Its totient is φ = 61661784384.

The previous prime is 105767089171. The next prime is 105767089237. The reversal of 105767089233 is 332980767501.

It is not a de Polignac number, because 105767089233 - 2¹⁰ = 105767088209 is a prime.

It is a super-2 number, since 2×105767089233² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105767089237) 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, 71367066 + ... + 71368547.

It is an arithmetic number, because the mean of its divisors is an integer number (9991492980).

Almost surely, 2^105767089233 is an apocalyptic number.

105767089233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105767089233 is a deficient number, since it is larger than the sum of its proper divisors (54096798447).

105767089233 is a wasteful number, since it uses less digits than its factorization.

105767089233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142735648.

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 105767089233 in words is "one hundred five billion, seven hundred sixty-seven million, eighty-nine thousand, two hundred thirty-three".