101721085 has 8 divisors (see below), whose sum is σ = 122843736. Its totient is φ = 80857920.

The previous prime is 101721083. The next prime is 101721127. The reversal of 101721085 is 580127101.

It can be written as a sum of positive squares in 4 ways, for example, as 2579236 + 99141849 = 1606^2 + 9957^2 .

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

It is not a de Polignac number, because 101721085 - 2¹ = 101721083 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101721083) 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 7 ways as a sum of consecutive naturals, for example, 64006 + ... + 65575.

It is an arithmetic number, because the mean of its divisors is an integer number (15355467).

Almost surely, 2^101721085 is an apocalyptic number.

It is an amenable number.

101721085 is a deficient number, since it is larger than the sum of its proper divisors (21122651).

101721085 is a wasteful number, since it uses less digits than its factorization.

101721085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129743.

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 101721085 is about 10085.6871357384. The cubic root of 101721085 is about 466.8066074078.

Adding to 101721085 its reverse (580127101), we get a palindrome (681848186).

The spelling of 101721085 in words is "one hundred one million, seven hundred twenty-one thousand, eighty-five".