105356143123225 has 24 divisors (see below), whose sum is σ = 136665000927000. Its totient is φ = 80464172490240.

The previous prime is 105356143123219. The next prime is 105356143123241. The reversal of 105356143123225 is 522321341653501.

It can be written as a sum of positive squares in 12 ways, for example, as 65102435057664 + 40253708065561 = 8068608^2 + 6344581^2 .

It is not a de Polignac number, because 105356143123225 - 2³¹ = 105353995639577 is a prime.

It is a super-3 number, since 3×105356143123225³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816333330 + ... + 816462379.

It is an arithmetic number, because the mean of its divisors is an integer number (5694375038625).

Almost surely, 2^{105356143123225} is an apocalyptic number.

It is an amenable number.

105356143123225 is a deficient number, since it is larger than the sum of its proper divisors (31308857803775).

105356143123225 is a wasteful number, since it uses less digits than its factorization.

105356143123225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632795837 (or 1632795832 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

Adding to 105356143123225 its reverse (522321341653501), we get a palindrome (627677484776726).

The spelling of 105356143123225 in words is "one hundred five trillion, three hundred fifty-six billion, one hundred forty-three million, one hundred twenty-three thousand, two hundred twenty-five".