105280713 has 6 divisors (see below), whose sum is σ = 152072154. Its totient is φ = 70187136.

The previous prime is 105280709. The next prime is 105280723. The reversal of 105280713 is 317082501.

It can be written as a sum of positive squares in only one way, i.e., 91240704 + 14040009 = 9552^2 + 3747^2 .

It is not a de Polignac number, because 105280713 - 2² = 105280709 is a prime.

It is a super-2 number, since 2×105280713² = 22168057059576738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105280723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5848920 + ... + 5848937.

It is an arithmetic number, because the mean of its divisors is an integer number (25345359).

Almost surely, 2^105280713 is an apocalyptic number.

It is an amenable number.

105280713 is a deficient number, since it is larger than the sum of its proper divisors (46791441).

105280713 is a wasteful number, since it uses less digits than its factorization.

105280713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11697863 (or 11697860 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105280713 is about 10260.6390151881. The cubic root of 105280713 is about 472.1894423526.

The spelling of 105280713 in words is "one hundred five million, two hundred eighty thousand, seven hundred thirteen".