102168321380352 has 520 divisors, whose sum is σ = 320218481149952. Its totient is φ = 32417036697600.

The previous prime is 102168321380347. The next prime is 102168321380353. The reversal of 102168321380352 is 253083123861201.

102168321380352 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 6 + 8 + 3 + 213 + 80 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102168321380298 and 102168321380307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102168321380353) 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 39 ways as a sum of consecutive naturals, for example, 627306993 + ... + 627469839.

Almost surely, 2^{102168321380352} is an apocalyptic number.

102168321380352 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 102168321380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160109240574976).

102168321380352 is an abundant number, since it is smaller than the sum of its proper divisors (218050159769600).

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

102168321380352 is an equidigital number, since it uses as much as digits as its factorization.

102168321380352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162975 (or 162944 counting only the distinct ones).

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

The spelling of 102168321380352 in words is "one hundred two trillion, one hundred sixty-eight billion, three hundred twenty-one million, three hundred eighty thousand, three hundred fifty-two".