102328972321 has 27 divisors (see below), whose sum is σ = 112507395507. Its totient is φ = 93049312320.

The previous prime is 102328972309. The next prime is 102328972367. The reversal of 102328972321 is 123279823201.

It is a happy number.

The square root of 102328972321 is 319889.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79667885025 + 22661087296 = 282255^2 + 150536^2 .

It is not a de Polignac number, because 102328972321 - 2¹¹ = 102328970273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102328972381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 168581200 + ... + 168581806.

Almost surely, 2^102328972321 is an apocalyptic number.

102328972321 is the 319889-th square number.

102328972321 is the 159945-th centered octagonal number.

It is an amenable number.

102328972321 is a deficient number, since it is larger than the sum of its proper divisors (10178423186).

102328972321 is an frugal number, since it uses more digits than its factorization.

102328972321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 102328972321 in words is "one hundred two billion, three hundred twenty-eight million, nine hundred seventy-two thousand, three hundred twenty-one".