101075585 has 36 divisors (see below), whose sum is σ = 138499452. Its totient is φ = 70390656.

The previous prime is 101075567. The next prime is 101075587. The reversal of 101075585 is 585570101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5798464 + 95277121 = 2408^2 + 9761^2 .

It is not a de Polignac number, because 101075585 - 2¹⁴ = 101059201 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101075587) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2350574 + ... + 2350616.

It is an arithmetic number, because the mean of its divisors is an integer number (3847207).

Almost surely, 2^101075585 is an apocalyptic number.

It is an amenable number.

101075585 is a deficient number, since it is larger than the sum of its proper divisors (37423867).

101075585 is an equidigital number, since it uses as much as digits as its factorization.

101075585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 32.

The square root of 101075585 is about 10053.6354121283. The cubic root of 101075585 is about 465.8170934509.

The spelling of 101075585 in words is "one hundred one million, seventy-five thousand, five hundred eighty-five".