105286800611427 has 24 divisors (see below), whose sum is σ = 141729584405136. Its totient is φ = 69523952782848.

The previous prime is 105286800611417. The next prime is 105286800611449. The reversal of 105286800611427 is 724116008682501.

It is a happy number.

It is not a de Polignac number, because 105286800611427 - 2¹¹ = 105286800609379 is a prime.

It is a super-2 number, since 2×105286800611427² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105286800611427.

It is not an unprimeable number, because it can be changed into a prime (105286800611417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214664223 + ... + 215154135.

It is an arithmetic number, because the mean of its divisors is an integer number (5905399350214).

Almost surely, 2^{105286800611427} is an apocalyptic number.

105286800611427 is a deficient number, since it is larger than the sum of its proper divisors (36442783793709).

105286800611427 is an equidigital number, since it uses as much as digits as its factorization.

105286800611427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496387 (or 496280 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 105286800611427 in words is "one hundred five trillion, two hundred eighty-six billion, eight hundred million, six hundred eleven thousand, four hundred twenty-seven".