102934819008 has 336 divisors, whose sum is σ = 352684080000. Its totient is φ = 29354088960.

The previous prime is 102934818979. The next prime is 102934819019. The reversal of 102934819008 is 800918439201.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68668243 + ... + 68669741.

It is an arithmetic number, because the mean of its divisors is an integer number (1049655000).

Almost surely, 2^102934819008 is an apocalyptic number.

102934819008 is a gapful number since it is divisible by the number (18) 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 102934819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176342040000).

102934819008 is an abundant number, since it is smaller than the sum of its proper divisors (249749260992).

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

102934819008 is a wasteful number, since it uses less digits than its factorization.

102934819008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 102934819008 in words is "one hundred two billion, nine hundred thirty-four million, eight hundred nineteen thousand, eight".