102359044096 has 39 divisors (see below), whose sum is σ = 204734053191. Its totient is φ = 51169284096.

The previous prime is 102359044079. The next prime is 102359044133. The reversal of 102359044096 is 690440953201.

The square root of 102359044096 is 319936.

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

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 20473405 + ... + 20478403.

Almost surely, 2^102359044096 is an apocalyptic number.

102359044096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102359044096 is the 319936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102359044096

102359044096 is an abundant number, since it is smaller than the sum of its proper divisors (102375009095).

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

102359044096 is an frugal number, since it uses more digits than its factorization.

102359044096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

Adding to 102359044096 its reverse (690440953201), we get a palindrome (792799997297).

It can be divided in two parts, 10235904 and 4096, that added together give a square (10240000 = 3200²).

The spelling of 102359044096 in words is "one hundred two billion, three hundred fifty-nine million, forty-four thousand, ninety-six".