102514042848 has 384 divisors, whose sum is σ = 324273438720. Its totient is φ = 27743938560.

The previous prime is 102514042843. The next prime is 102514042849. The reversal of 102514042848 is 848240415201.

It is a super-2 number, since 2×102514042848² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102514042843) 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 63 ways as a sum of consecutive naturals, for example, 274836390 + ... + 274836762.

It is an arithmetic number, because the mean of its divisors is an integer number (844462080).

Almost surely, 2^102514042848 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 102514042848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162136719360).

102514042848 is an abundant number, since it is smaller than the sum of its proper divisors (221759395872).

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

102514042848 is a wasteful number, since it uses less digits than its factorization.

102514042848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 102514042848 in words is "one hundred two billion, five hundred fourteen million, forty-two thousand, eight hundred forty-eight".