105204530033311 has 12 divisors (see below), whose sum is σ = 111068096432832. Its totient is φ = 99635977803744.

The previous prime is 105204530033263. The next prime is 105204530033359. The reversal of 105204530033311 is 113330035402501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105204530033263) and next prime (105204530033359).

It is not a de Polignac number, because 105204530033311 - 2¹⁷ = 105204529902239 is a prime.

It is a super-2 number, since 2×105204530033311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105204530033371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44866390 + ... + 47152963.

It is an arithmetic number, because the mean of its divisors is an integer number (9255674702736).

Almost surely, 2^{105204530033311} is an apocalyptic number.

105204530033311 is a deficient number, since it is larger than the sum of its proper divisors (5863566399521).

105204530033311 is an equidigital number, since it uses as much as digits as its factorization.

105204530033311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92022558 (or 92022539 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 105204530033311 its reverse (113330035402501), we get a palindrome (218534565435812).

The spelling of 105204530033311 in words is "one hundred five trillion, two hundred four billion, five hundred thirty million, thirty-three thousand, three hundred eleven".