105434121231 has 16 divisors (see below), whose sum is σ = 156424773120. Its totient is φ = 70187680440.

The previous prime is 105434121209. The next prime is 105434121239. The reversal of 105434121231 is 132121434501.

105434121231 is a `hidden beast` number, since 10 + 5 + 4 + 3 + 412 + 1 + 231 = 666.

It is not a de Polignac number, because 105434121231 - 2⁶ = 105434121167 is a prime.

It is a super-2 number, since 2×105434121231² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105434121195 and 105434121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105434121239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2806935 + ... + 2844248.

It is an arithmetic number, because the mean of its divisors is an integer number (9776548320).

Almost surely, 2^105434121231 is an apocalyptic number.

105434121231 is a deficient number, since it is larger than the sum of its proper divisors (50990651889).

105434121231 is an equidigital number, since it uses as much as digits as its factorization.

105434121231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651883 (or 5651877 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 105434121231 its reverse (132121434501), we get a palindrome (237555555732).

The spelling of 105434121231 in words is "one hundred five billion, four hundred thirty-four million, one hundred twenty-one thousand, two hundred thirty-one".