106685985 has 48 divisors (see below), whose sum is σ = 203985216. Its totient is φ = 47440512.

The previous prime is 106685963. The next prime is 106685987. The reversal of 106685985 is 589586601.

It is not a de Polignac number, because 106685985 - 2⁶ = 106685921 is a prime.

It is a super-2 number, since 2×106685985² = 22763798790840450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106685987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25234 + ... + 29156.

It is an arithmetic number, because the mean of its divisors is an integer number (4249692).

Almost surely, 2^106685985 is an apocalyptic number.

106685985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106685985 is a deficient number, since it is larger than the sum of its proper divisors (97299231).

106685985 is a wasteful number, since it uses less digits than its factorization.

106685985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3975 counting only the distinct ones).

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

The square root of 106685985 is about 10328.8907923358. The cubic root of 106685985 is about 474.2810693915.

It can be divided in two parts, 10668 and 5985, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 106685985 in words is "one hundred six million, six hundred eighty-five thousand, nine hundred eighty-five".