100585721 has 4 divisors (see below), whose sum is σ = 103304292. Its totient is φ = 97867152.

The previous prime is 100585699. The next prime is 100585733. The reversal of 100585721 is 127585001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 45751696 + 54834025 = 6764^2 + 7405^2 .

It is a cyclic number.

It is not a de Polignac number, because 100585721 - 2⁶ = 100585657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100585321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1359230 + ... + 1359303.

It is an arithmetic number, because the mean of its divisors is an integer number (25826073).

Almost surely, 2^100585721 is an apocalyptic number.

It is an amenable number.

100585721 is a deficient number, since it is larger than the sum of its proper divisors (2718571).

100585721 is an equidigital number, since it uses as much as digits as its factorization.

100585721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718570.

The product of its (nonzero) digits is 2800, while the sum is 29.

The square root of 100585721 is about 10029.2432914951. The cubic root of 100585721 is about 465.0633451299.

The spelling of 100585721 in words is "one hundred million, five hundred eighty-five thousand, seven hundred twenty-one".