105682085 has 16 divisors (see below), whose sum is σ = 136339200. Its totient is φ = 78388416.

The previous prime is 105682063. The next prime is 105682103. The reversal of 105682085 is 580286501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105682085 - 2⁶ = 105682021 is a prime.

It is a super-2 number, since 2×105682085² = 22337406179894450, 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, 7370 + ... + 16299.

It is an arithmetic number, because the mean of its divisors is an integer number (8521200).

Almost surely, 2^105682085 is an apocalyptic number.

It is an amenable number.

105682085 is a deficient number, since it is larger than the sum of its proper divisors (30657115).

105682085 is a wasteful number, since it uses less digits than its factorization.

105682085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23740.

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 105682085 is about 10280.1792299551. The cubic root of 105682085 is about 472.7887394691.

The spelling of 105682085 in words is "one hundred five million, six hundred eighty-two thousand, eighty-five".