102804005191680 has 3456 divisors, whose sum is σ = 443213164412928. Its totient is φ = 22602131177472.

The previous prime is 102804005191651. The next prime is 102804005191747. The reversal of 102804005191680 is 86191500408201.

It is a happy number.

102804005191680 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 0 + 40 + 0 + 519 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 809480355777 + ... + 809480355903.

It is an arithmetic number, because the mean of its divisors is an integer number (128244549888).

Almost surely, 2^{102804005191680} is an apocalyptic number.

102804005191680 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 102804005191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221606582206464).

102804005191680 is an abundant number, since it is smaller than the sum of its proper divisors (340409159221248).

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

102804005191680 is an equidigital number, since it uses as much as digits as its factorization.

102804005191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

Adding to 102804005191680 its reverse (86191500408201), we get a palindrome (188995505599881).

The spelling of 102804005191680 in words is "one hundred two trillion, eight hundred four billion, five million, one hundred ninety-one thousand, six hundred eighty".