102788300160 has 1152 divisors, whose sum is σ = 455315515200. Its totient is φ = 21606580224.

The previous prime is 102788300159. The next prime is 102788300177. The reversal of 102788300160 is 61003887201.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 382112506 + ... + 382112774.

Almost surely, 2^102788300160 is an apocalyptic number.

102788300160 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 102788300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227657757600).

102788300160 is an abundant number, since it is smaller than the sum of its proper divisors (352527215040).

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

102788300160 is an frugal number, since it uses more digits than its factorization.

102788300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 102788300160 in words is "one hundred two billion, seven hundred eighty-eight million, three hundred thousand, one hundred sixty".