101045585 has 16 divisors (see below), whose sum is σ = 127229952. Its totient is φ = 76939200.

The previous prime is 101045561. The next prime is 101045587. The reversal of 101045585 is 585540101.

It is not a de Polignac number, because 101045585 - 2¹⁰ = 101044561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101045587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4112 + ... + 14798.

It is an arithmetic number, because the mean of its divisors is an integer number (7951872).

Almost surely, 2^101045585 is an apocalyptic number.

It is an amenable number.

101045585 is a deficient number, since it is larger than the sum of its proper divisors (26184367).

101045585 is a wasteful number, since it uses less digits than its factorization.

101045585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10784.

The product of its (nonzero) digits is 4000, while the sum is 29.

The square root of 101045585 is about 10052.1433037935. The cubic root of 101045585 is about 465.7710028756.

Adding to 101045585 its reverse (585540101), we get a palindrome (686585686).

The spelling of 101045585 in words is "one hundred one million, forty-five thousand, five hundred eighty-five".