102839542848 has 504 divisors, whose sum is σ = 357995549184. Its totient is φ = 27620352000.

The previous prime is 102839542847. The next prime is 102839542859. The reversal of 102839542848 is 848245938201.

102839542848 is a `hidden beast` number, since 1 + 0 + 28 + 39 + 542 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×102839542848² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102839542794 and 102839542803.

It is not an unprimeable number, because it can be changed into a prime (102839542843) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 171113748 + ... + 171114348.

Almost surely, 2^102839542848 is an apocalyptic number.

102839542848 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 102839542848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178997774592).

102839542848 is an abundant number, since it is smaller than the sum of its proper divisors (255156006336).

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

102839542848 is a wasteful number, since it uses less digits than its factorization.

102839542848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 102839542848 in words is "one hundred two billion, eight hundred thirty-nine million, five hundred forty-two thousand, eight hundred forty-eight".