102004243440 has 80 divisors (see below), whose sum is σ = 344959814016. Its totient is φ = 24728300800.

The previous prime is 102004243427. The next prime is 102004243459. The reversal of 102004243440 is 44342400201.

It is a happy number.

102004243440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102004243440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19316346 + ... + 19321625.

Almost surely, 2^102004243440 is an apocalyptic number.

102004243440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102004243440 is an abundant number, since it is smaller than the sum of its proper divisors (242955570576).

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

102004243440 is a wasteful number, since it uses less digits than its factorization.

102004243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38637998 (or 38637992 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102004243440 its reverse (44342400201), we get a palindrome (146346643641).

The spelling of 102004243440 in words is "one hundred two billion, four million, two hundred forty-three thousand, four hundred forty".