102305221 has 8 divisors (see below), whose sum is σ = 103561304. Its totient is φ = 101053440.

The previous prime is 102305207. The next prime is 102305227. The reversal of 102305221 is 122503201.

It can be written as a sum of positive squares in 4 ways, for example, as 43230625 + 59074596 = 6575^2 + 7686^2 .

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-102305221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102305195 and 102305204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102305227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98521 + ... + 99553.

It is an arithmetic number, because the mean of its divisors is an integer number (12945163).

Almost surely, 2^102305221 is an apocalyptic number.

It is an amenable number.

102305221 is a deficient number, since it is larger than the sum of its proper divisors (1256083).

102305221 is a wasteful number, since it uses less digits than its factorization.

102305221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102305221 is about 10114.6043422370. The cubic root of 102305221 is about 467.6984521638.

Adding to 102305221 its reverse (122503201), we get a palindrome (224808422).

It can be divided in two parts, 10230 and 5221, that added together give a palindrome (15451).

The spelling of 102305221 in words is "one hundred two million, three hundred five thousand, two hundred twenty-one".