102353198745600 has 6912 divisors, whose sum is σ = 477886625798400. Its totient is φ = 21403533312000.

The previous prime is 102353198745541. The next prime is 102353198745619. The reversal of 102353198745600 is 6547891353201.

It is a happy number.

102353198745600 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 5 + 3 + 1 + 9 + 8 + 74 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 2496419481580 + ... + 2496419481620.

It is an arithmetic number, because the mean of its divisors is an integer number (69138690075).

It is a 1-persistent number, because it is pandigital, but 2⋅102353198745600 = 204706397491200 is not.

Almost surely, 2^{102353198745600} is an apocalyptic number.

102353198745600 is a gapful number since it is divisible by the number (10) 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 102353198745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238943312899200).

102353198745600 is an abundant number, since it is smaller than the sum of its proper divisors (375533427052800).

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

102353198745600 is a wasteful number, since it uses less digits than its factorization.

102353198745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 102353198745600 in words is "one hundred two trillion, three hundred fifty-three billion, one hundred ninety-eight million, seven hundred forty-five thousand, six hundred".