102380321433600 has 2880 divisors, whose sum is σ = 454788111697920. Its totient is φ = 22348298649600.

The previous prime is 102380321433541. The next prime is 102380321433631. The reversal of 102380321433600 is 6334123083201.

102380321433600 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 8 + 0 + 3 + 2 + 1 + 43 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 162250905285 + ... + 162250905915.

It is an arithmetic number, because the mean of its divisors is an integer number (157912538784).

Almost surely, 2^{102380321433600} is an apocalyptic number.

102380321433600 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 102380321433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227394055848960).

102380321433600 is an abundant number, since it is smaller than the sum of its proper divisors (352407790264320).

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

102380321433600 is an frugal number, since it uses more digits than its factorization.

102380321433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 102380321433600 in words is "one hundred two trillion, three hundred eighty billion, three hundred twenty-one million, four hundred thirty-three thousand, six hundred".