105388713 has 12 divisors (see below), whose sum is σ = 154314420. Its totient is φ = 69296256.

The previous prime is 105388693. The next prime is 105388739. The reversal of 105388713 is 317883501.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 62773929 = 6528^2 + 7923^2 .

It is not a de Polignac number, because 105388713 - 2⁵ = 105388681 is a prime.

It is a super-2 number, since 2×105388713² = 22213561655592738, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105388793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79548 + ... + 80861.

It is an arithmetic number, because the mean of its divisors is an integer number (12859535).

Almost surely, 2^105388713 is an apocalyptic number.

It is an amenable number.

105388713 is a deficient number, since it is larger than the sum of its proper divisors (48925707).

105388713 is a wasteful number, since it uses less digits than its factorization.

105388713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160488 (or 160485 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105388713 is about 10265.9004963033. The cubic root of 105388713 is about 472.3508490350.

The spelling of 105388713 in words is "one hundred five million, three hundred eighty-eight thousand, seven hundred thirteen".