102585422160 has 320 divisors, whose sum is σ = 381063110400. Its totient is φ = 25216468992.

The previous prime is 102585422119. The next prime is 102585422189. The reversal of 102585422160 is 61224585201.

102585422160 is a `hidden beast` number, since 1 + 0 + 2 + 58 + 542 + 2 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24118594 + ... + 24122846.

It is an arithmetic number, because the mean of its divisors is an integer number (1190822220).

Almost surely, 2^102585422160 is an apocalyptic number.

102585422160 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 102585422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190531555200).

102585422160 is an abundant number, since it is smaller than the sum of its proper divisors (278477688240).

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

102585422160 is a wasteful number, since it uses less digits than its factorization.

102585422160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5147 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 102585422160 in words is "one hundred two billion, five hundred eighty-five million, four hundred twenty-two thousand, one hundred sixty".