102080160 has 576 divisors, whose sum is σ = 462309120. Its totient is φ = 19906560.

The previous prime is 102080149. The next prime is 102080161. The reversal of 102080160 is 61080201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102080161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489740 + ... + 2489780.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^102080160 is an apocalyptic number.

102080160 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 102080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

102080160 is an abundant number, since it is smaller than the sum of its proper divisors (360228960).

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

102080160 is a wasteful number, since it uses less digits than its factorization.

102080160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102080160 is about 10103.4726703248. The cubic root of 102080160 is about 467.3552374762.

The spelling of 102080160 in words is "one hundred two million, eighty thousand, one hundred sixty".