102804823680 has 512 divisors, whose sum is σ = 368698176000. Its totient is φ = 24190451712.

The previous prime is 102804823657. The next prime is 102804823699. The reversal of 102804823680 is 86328408201.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78897909 + ... + 78899211.

It is an arithmetic number, because the mean of its divisors is an integer number (720113625).

Almost surely, 2^102804823680 is an apocalyptic number.

102804823680 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 102804823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184349088000).

102804823680 is an abundant number, since it is smaller than the sum of its proper divisors (265893352320).

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

102804823680 is a wasteful number, since it uses less digits than its factorization.

102804823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 102804823680 in words is "one hundred two billion, eight hundred four million, eight hundred twenty-three thousand, six hundred eighty".