102485283264 has 448 divisors, whose sum is σ = 374694297600. Its totient is φ = 26746454016.

The previous prime is 102485283259. The next prime is 102485283289. The reversal of 102485283264 is 462382584201.

102485283264 is a `hidden beast` number, since 10 + 24 + 8 + 528 + 32 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15249697 + ... + 15256415.

It is an arithmetic number, because the mean of its divisors is an integer number (836371200).

Almost surely, 2^102485283264 is an apocalyptic number.

102485283264 is a gapful number since it is divisible by the number (14) 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 102485283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187347148800).

102485283264 is an abundant number, since it is smaller than the sum of its proper divisors (272209014336).

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

102485283264 is a wasteful number, since it uses less digits than its factorization.

102485283264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6857 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 102485283264 in words is "one hundred two billion, four hundred eighty-five million, two hundred eighty-three thousand, two hundred sixty-four".