102405804017 has 16 divisors (see below), whose sum is σ = 115263570240. Its totient is φ = 90172070400.

The previous prime is 102405804013. The next prime is 102405804031. The reversal of 102405804017 is 710408504201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102405804017 - 2² = 102405804013 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102405804013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754088 + ... + 879465.

It is an arithmetic number, because the mean of its divisors is an integer number (7203973140).

Almost surely, 2^102405804017 is an apocalyptic number.

It is an amenable number.

102405804017 is a deficient number, since it is larger than the sum of its proper divisors (12857766223).

102405804017 is a wasteful number, since it uses less digits than its factorization.

102405804017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633744.

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 102405804017 in words is "one hundred two billion, four hundred five million, eight hundred four thousand, seventeen".