102854568960 has 1408 divisors, whose sum is σ = 443048094720. Its totient is φ = 22481141760.

The previous prime is 102854568959. The next prime is 102854568977. The reversal of 102854568960 is 69865458201.

102854568960 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 545 + 6 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 102854568897 and 102854568906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2391966699 + ... + 2391966741.

It is an arithmetic number, because the mean of its divisors is an integer number (314664840).

Almost surely, 2^102854568960 is an apocalyptic number.

102854568960 is a gapful number since it is divisible by the number (10) 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 102854568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221524047360).

102854568960 is an abundant number, since it is smaller than the sum of its proper divisors (340193525760).

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

102854568960 is a wasteful number, since it uses less digits than its factorization.

102854568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 102854568960 in words is "one hundred two billion, eight hundred fifty-four million, five hundred sixty-eight thousand, nine hundred sixty".