105413112233 has 16 divisors (see below), whose sum is σ = 124360185600. Its totient is φ = 88088407680.

The previous prime is 105413112179. The next prime is 105413112269. The reversal of 105413112233 is 332211314501.

It is not a de Polignac number, because 105413112233 - 2²⁰ = 105412063657 is a prime.

It is a super-2 number, since 2×105413112233² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105413112283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507988 + ... + 1576341.

It is an arithmetic number, because the mean of its divisors is an integer number (7772511600).

Almost surely, 2^105413112233 is an apocalyptic number.

105413112233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105413112233 is a deficient number, since it is larger than the sum of its proper divisors (18947073367).

105413112233 is a wasteful number, since it uses less digits than its factorization.

105413112233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084592.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 105413112233 its reverse (332211314501), we get a palindrome (437624426734).

The spelling of 105413112233 in words is "one hundred five billion, four hundred thirteen million, one hundred twelve thousand, two hundred thirty-three".