105224235345 has 12 divisors (see below), whose sum is σ = 182388674676. Its totient is φ = 56119592160.

The previous prime is 105224235323. The next prime is 105224235353. The reversal of 105224235345 is 543532422501.

105224235345 is a `hidden beast` number, since 1 + 0 + 522 + 42 + 3 + 53 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83381760081 + 21842475264 = 288759^2 + 147792^2 .

It is not a de Polignac number, because 105224235345 - 2¹² = 105224231249 is a prime.

It is a super-2 number, since 2×105224235345² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1169158126 + ... + 1169158215.

It is an arithmetic number, because the mean of its divisors is an integer number (15199056223).

Almost surely, 2^105224235345 is an apocalyptic number.

105224235345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105224235345 is a deficient number, since it is larger than the sum of its proper divisors (77164439331).

105224235345 is a wasteful number, since it uses less digits than its factorization.

105224235345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338316352 (or 2338316349 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 105224235345 its reverse (543532422501), we get a palindrome (648756657846).

The spelling of 105224235345 in words is "one hundred five billion, two hundred twenty-four million, two hundred thirty-five thousand, three hundred forty-five".