2105434312431 has 16 divisors (see below), whose sum is σ = 2811062566368. Its totient is φ = 1401714953600.

The previous prime is 2105434312393. The next prime is 2105434312453. The reversal of 2105434312431 is 1342134345012.

It is a cyclic number.

It is not a de Polignac number, because 2105434312431 - 2⁶ = 2105434312367 is a prime.

It is a super-2 number, since 2×2105434312431² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2105434312392 and 2105434312401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105434312231) 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, 18516805 + ... + 18630161.

It is an arithmetic number, because the mean of its divisors is an integer number (175691410398).

Almost surely, 2^{2105434312431} is an apocalyptic number.

2105434312431 is a deficient number, since it is larger than the sum of its proper divisors (705628253937).

2105434312431 is a wasteful number, since it uses less digits than its factorization.

2105434312431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121722.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 2105434312431 its reverse (1342134345012), we get a palindrome (3447568657443).

The spelling of 2105434312431 in words is "two trillion, one hundred five billion, four hundred thirty-four million, three hundred twelve thousand, four hundred thirty-one".