105702707231 has 16 divisors (see below), whose sum is σ = 121310179200. Its totient is φ = 91207250400.

The previous prime is 105702707213. The next prime is 105702707267. The reversal of 105702707231 is 132707207501.

It is not a de Polignac number, because 105702707231 - 2⁶ = 105702707167 is a prime.

It is a super-2 number, since 2×105702707231² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105702707191 and 105702707200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105752707231) 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, 2789285 + ... + 2826926.

It is an arithmetic number, because the mean of its divisors is an integer number (7581886200).

Almost surely, 2^105702707231 is an apocalyptic number.

105702707231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105702707231 is a deficient number, since it is larger than the sum of its proper divisors (15607471969).

105702707231 is a wasteful number, since it uses less digits than its factorization.

105702707231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616310.

The product of its (nonzero) digits is 20580, while the sum is 35.

It can be divided in two parts, 10570270 and 7231, that added together give a palindrome (10577501).

The spelling of 105702707231 in words is "one hundred five billion, seven hundred two million, seven hundred seven thousand, two hundred thirty-one".