106865985 has 16 divisors (see below), whose sum is σ = 171849600. Its totient is φ = 56707200.

The previous prime is 106865977. The next prime is 106866007. The reversal of 106865985 is 589568601.

It is not a de Polignac number, because 106865985 - 2³ = 106865977 is a prime.

It is a super-2 number, since 2×106865985² = 22840677500040450, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14916 + ... + 20885.

It is an arithmetic number, because the mean of its divisors is an integer number (10740600).

Almost surely, 2^106865985 is an apocalyptic number.

106865985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106865985 is a deficient number, since it is larger than the sum of its proper divisors (64983615).

106865985 is a wasteful number, since it uses less digits than its factorization.

106865985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36008.

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 106865985 is about 10337.6005436465. The cubic root of 106865985 is about 474.5476543141.

The spelling of 106865985 in words is "one hundred six million, eight hundred sixty-five thousand, nine hundred eighty-five".