102405633616 has 80 divisors (see below), whose sum is σ = 240617599488. Its totient is φ = 41581324800.

The previous prime is 102405633611. The next prime is 102405633637. The reversal of 102405633616 is 616336504201.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650971 + ... + 792826.

Almost surely, 2^102405633616 is an apocalyptic number.

102405633616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102405633616 is an abundant number, since it is smaller than the sum of its proper divisors (138211965872).

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

102405633616 is a wasteful number, since it uses less digits than its factorization.

102405633616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443860 (or 1443854 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 102405633616 in words is "one hundred two billion, four hundred five million, six hundred thirty-three thousand, six hundred sixteen".