105432454410201 has 48 divisors (see below), whose sum is σ = 162101229308928. Its totient is φ = 65804356800000.

The previous prime is 105432454410169. The next prime is 105432454410209. The reversal of 105432454410201 is 102014454234501.

105432454410201 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 2 + 4 + 5 + 441 + 0 + 201 = 666.

It is not a de Polignac number, because 105432454410201 - 2⁵ = 105432454410169 is a prime.

It is a super-2 number, since 2×105432454410201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105432454410209) 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, 767064255 + ... + 767201691.

It is an arithmetic number, because the mean of its divisors is an integer number (3377108943936).

Almost surely, 2^{105432454410201} is an apocalyptic number.

It is an amenable number.

105432454410201 is a deficient number, since it is larger than the sum of its proper divisors (56668774898727).

105432454410201 is a wasteful number, since it uses less digits than its factorization.

105432454410201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163902 (or 163899 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 105432454410201 in words is "one hundred five trillion, four hundred thirty-two billion, four hundred fifty-four million, four hundred ten thousand, two hundred one".