105145135431 has 16 divisors (see below), whose sum is σ = 160226970624. Its totient is φ = 60080755104.

The previous prime is 105145135411. The next prime is 105145135477. The reversal of 105145135431 is 134531541501.

It is a happy number.

It is not a de Polignac number, because 105145135431 - 2¹⁷ = 105145004359 is a prime.

It is a super-2 number, since 2×105145135431² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105145135392 and 105145135401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105145135411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637890 + ... + 785616.

It is an arithmetic number, because the mean of its divisors is an integer number (10014185664).

Almost surely, 2^105145135431 is an apocalyptic number.

105145135431 is a deficient number, since it is larger than the sum of its proper divisors (55081835193).

105145135431 is a wasteful number, since it uses less digits than its factorization.

105145135431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181630.

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 105145135431 its reverse (134531541501), we get a palindrome (239676676932).

The spelling of 105145135431 in words is "one hundred five billion, one hundred forty-five million, one hundred thirty-five thousand, four hundred thirty-one".