105101685 has 32 divisors (see below), whose sum is σ = 201223680. Its totient is φ = 51741504.

The previous prime is 105101683. The next prime is 105101707. The reversal of 105101685 is 586101501.

It is not a de Polignac number, because 105101685 - 2¹ = 105101683 is a prime.

It is a super-2 number, since 2×105101685² = 22092728379678450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28189 + ... + 31698.

It is an arithmetic number, because the mean of its divisors is an integer number (6288240).

Almost surely, 2^105101685 is an apocalyptic number.

105101685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105101685 is a deficient number, since it is larger than the sum of its proper divisors (96121995).

105101685 is a wasteful number, since it uses less digits than its factorization.

105101685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59914 (or 59908 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 105101685 is about 10251.9112852190. The cubic root of 105101685 is about 471.9216405516.

The spelling of 105101685 in words is "one hundred five million, one hundred one thousand, six hundred eighty-five".