102788400000 has 768 divisors, whose sum is σ = 401599296000. Its totient is φ = 22963200000.

The previous prime is 102788399999. The next prime is 102788400037. The reversal of 102788400000 is 4887201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171599701 + ... + 171600299.

It is an arithmetic number, because the mean of its divisors is an integer number (522915750).

Almost surely, 2^102788400000 is an apocalyptic number.

102788400000 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 102788400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200799648000).

102788400000 is an abundant number, since it is smaller than the sum of its proper divisors (298810896000).

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

102788400000 is an equidigital number, since it uses as much as digits as its factorization.

102788400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The spelling of 102788400000 in words is "one hundred two billion, seven hundred eighty-eight million, four hundred thousand".