102673806336 has 528 divisors, whose sum is σ = 327436154880. Its totient is φ = 32168005632.

The previous prime is 102673806293. The next prime is 102673806371. The reversal of 102673806336 is 633608376201.

102673806336 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 7 + 3 + 8 + 0 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102673806291 and 102673806300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808455105 + ... + 808455231.

Almost surely, 2^102673806336 is an apocalyptic number.

102673806336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102673806336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163718077440).

102673806336 is an abundant number, since it is smaller than the sum of its proper divisors (224762348544).

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

102673806336 is an frugal number, since it uses more digits than its factorization.

102673806336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 102673806336 in words is "one hundred two billion, six hundred seventy-three million, eight hundred six thousand, three hundred thirty-six".