102008160 has 240 divisors, whose sum is σ = 382003776. Its totient is φ = 25546752.

The previous prime is 102008141. The next prime is 102008191. The reversal of 102008160 is 61800201.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220089 + ... + 220551.

Almost surely, 2^102008160 is an apocalyptic number.

102008160 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 102008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191001888).

102008160 is an abundant number, since it is smaller than the sum of its proper divisors (279995616).

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

102008160 is a wasteful number, since it uses less digits than its factorization.

102008160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

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

The square root of 102008160 is about 10099.9089104803. The cubic root of 102008160 is about 467.2453320466.

Adding to 102008160 its reverse (61800201), we get a palindrome (163808361).

The spelling of 102008160 in words is "one hundred two million, eight thousand, one hundred sixty".