100985665 has 32 divisors (see below), whose sum is σ = 142611840. Its totient is φ = 67852800.

The previous prime is 100985659. The next prime is 100985681. The reversal of 100985665 is 566589001.

It is not a de Polignac number, because 100985665 - 2⁷ = 100985537 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41667 + ... + 44023.

It is an arithmetic number, because the mean of its divisors is an integer number (4456620).

Almost surely, 2^100985665 is an apocalyptic number.

It is an amenable number.

100985665 is a deficient number, since it is larger than the sum of its proper divisors (41626175).

100985665 is a wasteful number, since it uses less digits than its factorization.

100985665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433.

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 100985665 is about 10049.1624029070. The cubic root of 100985665 is about 465.6789173184.

The spelling of 100985665 in words is "one hundred million, nine hundred eighty-five thousand, six hundred sixty-five".