114524223321105 has 48 divisors (see below), whose sum is σ = 217812107809296. Its totient is φ = 55317360683520.

The previous prime is 114524223321061. The next prime is 114524223321127. The reversal of 114524223321105 is 501123322425411.

114524223321105 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 4 + 223 + 321 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3488351850369 + 111035871470736 = 1867713^2 + 10537356^2 .

It is not a de Polignac number, because 114524223321105 - 2¹⁹ = 114524222796817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114524223321105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1846836006 + ... + 1846898015.

It is an arithmetic number, because the mean of its divisors is an integer number (4537752246027).

Almost surely, 2^{114524223321105} is an apocalyptic number.

114524223321105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114524223321105 is a deficient number, since it is larger than the sum of its proper divisors (103287884488191).

114524223321105 is a wasteful number, since it uses less digits than its factorization.

114524223321105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693734098 (or 3693734095 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 114524223321105 its reverse (501123322425411), we get a palindrome (615647545746516).

The spelling of 114524223321105 in words is "one hundred fourteen trillion, five hundred twenty-four billion, two hundred twenty-three million, three hundred twenty-one thousand, one hundred five".