102318096384 has 675 divisors, whose sum is σ = 366295444697. Its totient is φ = 27514109952.

The previous prime is 102318096347. The next prime is 102318096457. The reversal of 102318096384 is 483690813201.

The square root of 102318096384 is 319872.

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

102318096384 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 8 + 0 + 9 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79659417600 + 22658678784 = 282240^2 + 150528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6018711544 + ... + 6018711560.

Almost surely, 2^102318096384 is an apocalyptic number.

102318096384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102318096384 is the 319872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102318096384

102318096384 is an abundant number, since it is smaller than the sum of its proper divisors (263977348313).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102318096384 is an frugal number, since it uses more digits than its factorization.

102318096384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 102318096384 in words is "one hundred two billion, three hundred eighteen million, ninety-six thousand, three hundred eighty-four".