105434413233201 has 48 divisors (see below), whose sum is σ = 164802059472960. Its totient is φ = 64569257101440.

The previous prime is 105434413233151. The next prime is 105434413233287. The reversal of 105434413233201 is 102332314434501.

105434413233201 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 4 + 4 + 1 + 323 + 320 + 1 = 666.

It is not a de Polignac number, because 105434413233201 - 2¹⁰ = 105434413232177 is a prime.

It is a super-2 number, since 2×105434413233201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105434413233901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61326730 + ... + 63022508.

It is an arithmetic number, because the mean of its divisors is an integer number (3433376239020).

Almost surely, 2^{105434413233201} is an apocalyptic number.

It is an amenable number.

105434413233201 is a deficient number, since it is larger than the sum of its proper divisors (59367646239759).

105434413233201 is a wasteful number, since it uses less digits than its factorization.

105434413233201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698366 (or 1698363 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 105434413233201 its reverse (102332314434501), we get a palindrome (207766727667702).

The spelling of 105434413233201 in words is "one hundred five trillion, four hundred thirty-four billion, four hundred thirteen million, two hundred thirty-three thousand, two hundred one".