101664585 has 64 divisors (see below), whose sum is σ = 198696960. Its totient is φ = 48911040.

The previous prime is 101664583. The next prime is 101664587. The reversal of 101664585 is 585466101.

101664585 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 645 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (101664583) and next prime (101664587).

It is not a de Polignac number, because 101664585 - 2¹ = 101664583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101664581) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 331002 + ... + 331308.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640).

Almost surely, 2^101664585 is an apocalyptic number.

101664585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101664585 is a deficient number, since it is larger than the sum of its proper divisors (97032375).

101664585 is a wasteful number, since it uses less digits than its factorization.

101664585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 101664585 is about 10082.8857476419. The cubic root of 101664585 is about 466.7201636516.

The spelling of 101664585 in words is "one hundred one million, six hundred sixty-four thousand, five hundred eighty-five".