105287685 has 16 divisors (see below), whose sum is σ = 168690816. Its totient is φ = 56076608.

The previous prime is 105287671. The next prime is 105287729. The reversal of 105287685 is 586782501.

It is a cyclic number.

It is not a de Polignac number, because 105287685 - 2⁴ = 105287669 is a prime.

It is a super-2 number, since 2×105287685² = 22170993225318450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7552 + ... + 16358.

It is an arithmetic number, because the mean of its divisors is an integer number (10543176).

Almost surely, 2^105287685 is an apocalyptic number.

105287685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105287685 is a deficient number, since it is larger than the sum of its proper divisors (63403131).

105287685 is an equidigital number, since it uses as much as digits as its factorization.

105287685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9612.

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 105287685 is about 10260.9787544854. The cubic root of 105287685 is about 472.1998653827.

The spelling of 105287685 in words is "one hundred five million, two hundred eighty-seven thousand, six hundred eighty-five".