102380769721600 has 216 divisors, whose sum is σ = 259261754380160. Its totient is φ = 40017060495360.

The previous prime is 102380769721597. The next prime is 102380769721639. The reversal of 102380769721600 is 6127967083201.

It is a super-3 number, since 3×102380769721600³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47999419 + ... + 50086981.

Almost surely, 2^{102380769721600} is an apocalyptic number.

102380769721600 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 102380769721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129630877190080).

102380769721600 is an abundant number, since it is smaller than the sum of its proper divisors (156880984658560).

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

102380769721600 is an equidigital number, since it uses as much as digits as its factorization.

102380769721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087765 (or 2087746 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 102380769721600 in words is "one hundred two trillion, three hundred eighty billion, seven hundred sixty-nine million, seven hundred twenty-one thousand, six hundred".