105755693233 has 2 divisors, whose sum is σ = 105755693234. Its totient is φ = 105755693232.

The previous prime is 105755693203. The next prime is 105755693269. The reversal of 105755693233 is 332396557501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104421398449 + 1334294784 = 323143^2 + 36528^2 .

It is a cyclic number.

It is not a de Polignac number, because 105755693233 - 2⁵ = 105755693201 is a prime.

It is a super-2 number, since 2×105755693233² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105755693203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52877846616 + 52877846617.

It is an arithmetic number, because the mean of its divisors is an integer number (52877846617).

Almost surely, 2^105755693233 is an apocalyptic number.

It is an amenable number.

105755693233 is a deficient number, since it is larger than the sum of its proper divisors (1).

105755693233 is an equidigital number, since it uses as much as digits as its factorization.

105755693233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2551500, while the sum is 49.

The spelling of 105755693233 in words is "one hundred five billion, seven hundred fifty-five million, six hundred ninety-three thousand, two hundred thirty-three".