105414173325 has 54 divisors (see below), whose sum is σ = 200568319614. Its totient is φ = 52913748480.

The previous prime is 105414173317. The next prime is 105414173327. The reversal of 105414173325 is 523371414501.

105414173325 is a `hidden beast` number, since 1 + 0 + 541 + 41 + 73 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 9474686244 + 95939487081 = 97338^2 + 309741^2 .

It is not a de Polignac number, because 105414173325 - 2³ = 105414173317 is a prime.

It is a super-2 number, since 2×105414173325² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105414173325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414173327) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 745542 + ... + 875591.

It is an arithmetic number, because the mean of its divisors is an integer number (3714228141).

Almost surely, 2^105414173325 is an apocalyptic number.

105414173325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105414173325 is a deficient number, since it is larger than the sum of its proper divisors (95154146289).

105414173325 is a wasteful number, since it uses less digits than its factorization.

105414173325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621183 (or 1621158 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 105414173325 its reverse (523371414501), we get a palindrome (628785587826).

The spelling of 105414173325 in words is "one hundred five billion, four hundred fourteen million, one hundred seventy-three thousand, three hundred twenty-five".