106895817 has 24 divisors (see below), whose sum is σ = 176808320. Its totient is φ = 60963840.

The previous prime is 106895801. The next prime is 106895819. The reversal of 106895817 is 718598601.

106895817 is a `hidden beast` number, since 1 + 0 + 68 + 9 + 581 + 7 = 666.

It is not a de Polignac number, because 106895817 - 2⁴ = 106895801 is a prime.

It is a super-2 number, since 2×106895817² = 22853431384194978, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106895819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38409 + ... + 41097.

Almost surely, 2^106895817 is an apocalyptic number.

It is an amenable number.

106895817 is a deficient number, since it is larger than the sum of its proper divisors (69912503).

106895817 is a wasteful number, since it uses less digits than its factorization.

106895817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 106895817 is about 10339.0433309857. The cubic root of 106895817 is about 474.5918073984.

The spelling of 106895817 in words is "one hundred six million, eight hundred ninety-five thousand, eight hundred seventeen".