102168836352 has 288 divisors, whose sum is σ = 330174351360. Its totient is φ = 30906132480.

The previous prime is 102168836347. The next prime is 102168836359. The reversal of 102168836352 is 253638861201.

102168836352 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 6 + 8 + 8 + 3 + 635 + 2 = 666.

102168836352 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×102168836352³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102168836298 and 102168836307.

It is not an unprimeable number, because it can be changed into a prime (102168836359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74738773 + ... + 74740139.

It is an arithmetic number, because the mean of its divisors is an integer number (1146438720).

Almost surely, 2^102168836352 is an apocalyptic number.

102168836352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102168836352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165087175680).

102168836352 is an abundant number, since it is smaller than the sum of its proper divisors (228005515008).

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

102168836352 is a wasteful number, since it uses less digits than its factorization.

102168836352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 102168836352 in words is "one hundred two billion, one hundred sixty-eight million, eight hundred thirty-six thousand, three hundred fifty-two".