102204482688 has 384 divisors, whose sum is σ = 367777238400. Its totient is φ = 26466877440.

The previous prime is 102204482663. The next prime is 102204482689. The reversal of 102204482688 is 886284402201.

102204482688 is a `hidden beast` number, since 102 + 2 + 0 + 4 + 482 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (102204482689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33085048 + ... + 33088136.

It is an arithmetic number, because the mean of its divisors is an integer number (957753225).

Almost surely, 2^102204482688 is an apocalyptic number.

102204482688 is a gapful number since it is divisible by the number (18) 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 102204482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183888619200).

102204482688 is an abundant number, since it is smaller than the sum of its proper divisors (265572755712).

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

102204482688 is a wasteful number, since it uses less digits than its factorization.

102204482688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

Adding to 102204482688 its reverse (886284402201), we get a palindrome (988488884889).

The spelling of 102204482688 in words is "one hundred two billion, two hundred four million, four hundred eighty-two thousand, six hundred eighty-eight".