105288685 has 8 divisors (see below), whose sum is σ = 126673560. Its totient is φ = 84012864.

The previous prime is 105288683. The next prime is 105288719. The reversal of 105288685 is 586882501.

It can be written as a sum of positive squares in 4 ways, for example, as 3944196 + 101344489 = 1986^2 + 10067^2 .

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 105288685 - 2¹ = 105288683 is a prime.

It is a super-2 number, since 2×105288685² = 22171414378058450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105288683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25122 + ... + 29011.

It is an arithmetic number, because the mean of its divisors is an integer number (15834195).

Almost surely, 2^105288685 is an apocalyptic number.

It is an amenable number.

105288685 is a deficient number, since it is larger than the sum of its proper divisors (21384875).

105288685 is an equidigital number, since it uses as much as digits as its factorization.

105288685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54527.

The product of its (nonzero) digits is 153600, while the sum is 43.

The square root of 105288685 is about 10261.0274826647. The cubic root of 105288685 is about 472.2013603292.

The spelling of 105288685 in words is "one hundred five million, two hundred eighty-eight thousand, six hundred eighty-five".