105682757 has 8 divisors (see below), whose sum is σ = 110826840. Its totient is φ = 100638720.

The previous prime is 105682697. The next prime is 105682781. The reversal of 105682757 is 757286501.

It can be written as a sum of positive squares in 4 ways, for example, as 39325441 + 66357316 = 6271^2 + 8146^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105682757 - 2⁸ = 105682501 is a prime.

It is a super-2 number, since 2×105682757² = 22337690254242098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105682457) 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 7 ways as a sum of consecutive naturals, for example, 22844 + ... + 27077.

It is an arithmetic number, because the mean of its divisors is an integer number (13853355).

Almost surely, 2^105682757 is an apocalyptic number.

It is an amenable number.

105682757 is a deficient number, since it is larger than the sum of its proper divisors (5144083).

105682757 is an equidigital number, since it uses as much as digits as its factorization.

105682757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50023.

The product of its (nonzero) digits is 117600, while the sum is 41.

The square root of 105682757 is about 10280.2119141582. The cubic root of 105682757 is about 472.7897415732.

The spelling of 105682757 in words is "one hundred five million, six hundred eighty-two thousand, seven hundred fifty-seven".