102590808804 has 243 divisors, whose sum is σ = 299396134947. Its totient is φ = 29595535200.

The previous prime is 102590808763. The next prime is 102590808839. The reversal of 102590808804 is 408808095201.

It is a happy number.

The square root of 102590808804 is 320298.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 102590808804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 486212259 + ... + 486212469.

Almost surely, 2^102590808804 is an apocalyptic number.

102590808804 is the 320298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102590808804

102590808804 is an abundant number, since it is smaller than the sum of its proper divisors (196805326143).

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

102590808804 is a wasteful number, since it uses less digits than its factorization.

102590808804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 102590808804 in words is "one hundred two billion, five hundred ninety million, eight hundred eight thousand, eight hundred four".