102678246909600 has 576 divisors, whose sum is σ = 368770207196160. Its totient is φ = 24718534041600.

The previous prime is 102678246909583. The next prime is 102678246909607. The reversal of 102678246909600 is 6909642876201.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (102678246909607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79754197 + ... + 81031403.

It is an arithmetic number, because the mean of its divisors is an integer number (640226054160).

Almost surely, 2^{102678246909600} is an apocalyptic number.

102678246909600 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 102678246909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184385103598080).

102678246909600 is an abundant number, since it is smaller than the sum of its proper divisors (266091960286560).

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

102678246909600 is a wasteful number, since it uses less digits than its factorization.

102678246909600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277333 (or 1277320 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 102678246909600 in words is "one hundred two trillion, six hundred seventy-eight billion, two hundred forty-six million, nine hundred nine thousand, six hundred".