105533502022311 has 16 divisors (see below), whose sum is σ = 153504752296320. Its totient is φ = 63959082933920.

The previous prime is 105533502022283. The next prime is 105533502022331. The reversal of 105533502022311 is 113220205335501.

It is a cyclic number.

It is not a de Polignac number, because 105533502022311 - 2¹³ = 105533502014119 is a prime.

It is a super-2 number, since 2×105533502022311² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105533502022331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11887185 + ... + 18771578.

It is an arithmetic number, because the mean of its divisors is an integer number (9594047018520).

Almost surely, 2^{105533502022311} is an apocalyptic number.

105533502022311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105533502022311 is a deficient number, since it is larger than the sum of its proper divisors (47971250274009).

105533502022311 is a wasteful number, since it uses less digits than its factorization.

105533502022311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30763086.

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 105533502022311 its reverse (113220205335501), we get a palindrome (218753707357812).

The spelling of 105533502022311 in words is "one hundred five trillion, five hundred thirty-three billion, five hundred two million, twenty-two thousand, three hundred eleven".