102934106634480 has 480 divisors, whose sum is σ = 360768301850880. Its totient is φ = 24064713953280.

The previous prime is 102934106634473. The next prime is 102934106634497. The reversal of 102934106634480 is 84436601439201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 708405676 + ... + 708550964.

It is an arithmetic number, because the mean of its divisors is an integer number (751600628856).

Almost surely, 2^{102934106634480} is an apocalyptic number.

102934106634480 is a gapful number since it is divisible by the number (10) 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 102934106634480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180384150925440).

102934106634480 is an abundant number, since it is smaller than the sum of its proper divisors (257834195216400).

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

102934106634480 is a wasteful number, since it uses less digits than its factorization.

102934106634480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145517 (or 145432 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 102934106634480 in words is "one hundred two trillion, nine hundred thirty-four billion, one hundred six million, six hundred thirty-four thousand, four hundred eighty".