102816722880 has 672 divisors, whose sum is σ = 376586496000. Its totient is φ = 25710796800.

The previous prime is 102816722863. The next prime is 102816722887. The reversal of 102816722880 is 88227618201.

It is a happy number.

102816722880 is a `hidden beast` number, since 10 + 281 + 67 + 228 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102816722887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 690045046 + ... + 690045194.

Almost surely, 2^102816722880 is an apocalyptic number.

102816722880 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 102816722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188293248000).

102816722880 is an abundant number, since it is smaller than the sum of its proper divisors (273769773120).

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

102816722880 is a wasteful number, since it uses less digits than its factorization.

102816722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 102816722880 in words is "one hundred two billion, eight hundred sixteen million, seven hundred twenty-two thousand, eight hundred eighty".