102832644096 has 840 divisors, whose sum is σ = 383083820064. Its totient is φ = 26913669120.

The previous prime is 102832644067. The next prime is 102832644119. The reversal of 102832644096 is 690446238201.

102832644096 is a `hidden beast` number, since 102 + 83 + 2 + 64 + 409 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 784981951 + ... + 784982081.

Almost surely, 2^102832644096 is an apocalyptic number.

102832644096 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 102832644096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191541910032).

102832644096 is an abundant number, since it is smaller than the sum of its proper divisors (280251175968).

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

102832644096 is an equidigital number, since it uses as much as digits as its factorization.

102832644096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 102832644096 in words is "one hundred two billion, eight hundred thirty-two million, six hundred forty-four thousand, ninety-six".