102934801659456 has 252 divisors, whose sum is σ = 320024481164388. Its totient is φ = 31618818736128.

The previous prime is 102934801659407. The next prime is 102934801659533. The reversal of 102934801659456 is 654956108439201.

102934801659456 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 3 + 480 + 1 + 65 + 94 + 5 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9823109345856 + 93111692313600 = 3134184^2 + 9649440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102934801659393 and 102934801659402.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56833396 + ... + 58616588.

It is an arithmetic number, because the mean of its divisors is an integer number (1269938417319).

Almost surely, 2^{102934801659456} is an apocalyptic number.

102934801659456 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 102934801659456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160012240582194).

102934801659456 is an abundant number, since it is smaller than the sum of its proper divisors (217089679504932).

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

102934801659456 is a wasteful number, since it uses less digits than its factorization.

102934801659456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783830 (or 1783804 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 102934801659456 in words is "one hundred two trillion, nine hundred thirty-four billion, eight hundred one million, six hundred fifty-nine thousand, four hundred fifty-six".