105434121201 has 16 divisors (see below), whose sum is σ = 144097508544. Its totient is φ = 68535742464.

The previous prime is 105434121167. The next prime is 105434121209. The reversal of 105434121201 is 102121434501.

It is not a de Polignac number, because 105434121201 - 2¹⁴ = 105434104817 is a prime.

It is a super-2 number, since 2×105434121201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105434121209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633816 + ... + 782681.

It is an arithmetic number, because the mean of its divisors is an integer number (9006094284).

Almost surely, 2^105434121201 is an apocalyptic number.

It is an amenable number.

105434121201 is a deficient number, since it is larger than the sum of its proper divisors (38663387343).

105434121201 is a wasteful number, since it uses less digits than its factorization.

105434121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417120.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 105434121201 its reverse (102121434501), we get a palindrome (207555555702).

The spelling of 105434121201 in words is "one hundred five billion, four hundred thirty-four million, one hundred twenty-one thousand, two hundred one".