10105523413431 has 16 divisors (see below), whose sum is σ = 13498799919360. Its totient is φ = 6724635163200.

The previous prime is 10105523413397. The next prime is 10105523413451. The reversal of 10105523413431 is 13431432550101.

It is not a de Polignac number, because 10105523413431 - 2⁶ = 10105523413367 is a prime.

It is a super-2 number, since 2×10105523413431² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105523413392 and 10105523413401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105523413451) 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, 9934606 + ... + 10904468.

It is an arithmetic number, because the mean of its divisors is an integer number (843674994960).

Almost surely, 2^{10105523413431} is an apocalyptic number.

10105523413431 is a deficient number, since it is larger than the sum of its proper divisors (3393276505929).

10105523413431 is an equidigital number, since it uses as much as digits as its factorization.

10105523413431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976246.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 10105523413431 its reverse (13431432550101), we get a palindrome (23536955963532).

The spelling of 10105523413431 in words is "ten trillion, one hundred five billion, five hundred twenty-three million, four hundred thirteen thousand, four hundred thirty-one".