102314376216 has 192 divisors, whose sum is σ = 303879925440. Its totient is φ = 30907008000.

The previous prime is 102314376193. The next prime is 102314376217. The reversal of 102314376216 is 612673413201.

102314376216 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 437 + 6 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102314376217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37739101 + ... + 37741811.

It is an arithmetic number, because the mean of its divisors is an integer number (1582707945).

Almost surely, 2^102314376216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102314376216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151939962720).

102314376216 is an abundant number, since it is smaller than the sum of its proper divisors (201565549224).

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

102314376216 is a wasteful number, since it uses less digits than its factorization.

102314376216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 102314376216 its reverse (612673413201), we get a palindrome (714987789417).

The spelling of 102314376216 in words is "one hundred two billion, three hundred fourteen million, three hundred seventy-six thousand, two hundred sixteen".