105654713 has 2 divisors, whose sum is σ = 105654714. Its totient is φ = 105654712.

The previous prime is 105654707. The next prime is 105654719. The reversal of 105654713 is 317456501.

It is a balanced prime because it is at equal distance from previous prime (105654707) and next prime (105654719).

It can be written as a sum of positive squares in only one way, i.e., 74874409 + 30780304 = 8653^2 + 5548^2 .

It is an emirp because it is prime and its reverse (317456501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105654713 - 2⁴ = 105654697 is a prime.

It is a super-2 number, since 2×105654713² = 22325836758224738, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105654713.

It is not a weakly prime, because it can be changed into another prime (105654719) 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 as a sum of consecutive naturals, namely, 52827356 + 52827357.

It is an arithmetic number, because the mean of its divisors is an integer number (52827357).

Almost surely, 2^105654713 is an apocalyptic number.

It is an amenable number.

105654713 is a deficient number, since it is larger than the sum of its proper divisors (1).

105654713 is an equidigital number, since it uses as much as digits as its factorization.

105654713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 105654713 is about 10278.8478439950. The cubic root of 105654713 is about 472.7479180097.

The spelling of 105654713 in words is "one hundred five million, six hundred fifty-four thousand, seven hundred thirteen".