102405633617 has 32 divisors (see below), whose sum is σ = 124900819200. Its totient is φ = 82245867264.

The previous prime is 102405633611. The next prime is 102405633637. The reversal of 102405633617 is 716336504201.

It is not a de Polignac number, because 102405633617 - 2⁴ = 102405633601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102405633611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7869038 + ... + 7882040.

It is an arithmetic number, because the mean of its divisors is an integer number (3903150600).

Almost surely, 2^102405633617 is an apocalyptic number.

102405633617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

102405633617 is a deficient number, since it is larger than the sum of its proper divisors (22495185583).

102405633617 is an equidigital number, since it uses as much as digits as its factorization.

102405633617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13290 (or 13256 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 102405633617 in words is "one hundred two billion, four hundred five million, six hundred thirty-three thousand, six hundred seventeen".