102733820496 has 240 divisors, whose sum is σ = 309932663040. Its totient is φ = 31664839680.

The previous prime is 102733820473. The next prime is 102733820561. The reversal of 102733820496 is 694028337201.

102733820496 is a `hidden beast` number, since 1 + 0 + 27 + 338 + 204 + 96 = 666.

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, 59280046 + ... + 59281778.

It is an arithmetic number, because the mean of its divisors is an integer number (1291386096).

Almost surely, 2^102733820496 is an apocalyptic number.

102733820496 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 102733820496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154966331520).

102733820496 is an abundant number, since it is smaller than the sum of its proper divisors (207198842544).

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

102733820496 is a wasteful number, since it uses less digits than its factorization.

102733820496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 102733820496 in words is "one hundred two billion, seven hundred thirty-three million, eight hundred twenty thousand, four hundred ninety-six".