102742333517304 has 640 divisors, whose sum is σ = 326712969031680. Its totient is φ = 29954271744000.

The previous prime is 102742333517281. The next prime is 102742333517321. The reversal of 102742333517304 is 403715333247201.

102742333517304 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 4 + 2 + 3 + 335 + 1 + 7 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102742333517304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1920283017 + ... + 1920336519.

It is an arithmetic number, because the mean of its divisors is an integer number (510489014112).

Almost surely, 2^{102742333517304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102742333517304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163356484515840).

102742333517304 is an abundant number, since it is smaller than the sum of its proper divisors (223970635514376).

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

102742333517304 is a wasteful number, since it uses less digits than its factorization.

102742333517304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53733 (or 53720 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 102742333517304 in words is "one hundred two trillion, seven hundred forty-two billion, three hundred thirty-three million, five hundred seventeen thousand, three hundred four".