101134585 has 8 divisors (see below), whose sum is σ = 121814280. Its totient is φ = 80605824.

The previous prime is 101134573. The next prime is 101134591. The reversal of 101134585 is 585431101.

It can be written as a sum of positive squares in 4 ways, for example, as 11449 + 101123136 = 107^2 + 10056^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101134585 is a prime.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36252 + ... + 38941.

It is an arithmetic number, because the mean of its divisors is an integer number (15226785).

Almost surely, 2^101134585 is an apocalyptic number.

It is an amenable number.

101134585 is a deficient number, since it is larger than the sum of its proper divisors (20679695).

101134585 is an equidigital number, since it uses as much as digits as its factorization.

101134585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75467.

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 101134585 is about 10056.5692460202. The cubic root of 101134585 is about 465.9077116510.

Adding to 101134585 its reverse (585431101), we get a palindrome (686565686).

The spelling of 101134585 in words is "one hundred one million, one hundred thirty-four thousand, five hundred eighty-five".