101385685 has 16 divisors (see below), whose sum is σ = 124755120. Its totient is φ = 79073280.

The previous prime is 101385667. The next prime is 101385703. The reversal of 101385685 is 586583101.

It is an interprime number because it is at equal distance from previous prime (101385667) and next prime (101385703).

It can be written as a sum of positive squares in 8 ways, for example, as 30724849 + 70660836 = 5543^2 + 8406^2 .

It is not a de Polignac number, because 101385685 - 2¹⁵ = 101352917 is a prime.

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, 30925 + ... + 34045.

It is an arithmetic number, because the mean of its divisors is an integer number (7797195).

Almost surely, 2^101385685 is an apocalyptic number.

It is an amenable number.

101385685 is a deficient number, since it is larger than the sum of its proper divisors (23369435).

101385685 is an equidigital number, since it uses as much as digits as its factorization.

101385685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288.

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 101385685 is about 10069.0458833000. The cubic root of 101385685 is about 466.2929828817.

The spelling of 101385685 in words is "one hundred one million, three hundred eighty-five thousand, six hundred eighty-five".