171102960 has 240 divisors, whose sum is σ = 695687616. Its totient is φ = 36790272.

The previous prime is 171102941. The next prime is 171102973. The reversal of 171102960 is 69201171.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84682 + ... + 86678.

Almost surely, 2^171102960 is an apocalyptic number.

171102960 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 171102960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347843808).

171102960 is an abundant number, since it is smaller than the sum of its proper divisors (524584656).

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

171102960 is a wasteful number, since it uses less digits than its factorization.

171102960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 171102960 is about 13080.6330122055. The cubic root of 171102960 is about 555.1612874313.

The spelling of 171102960 in words is "one hundred seventy-one million, one hundred two thousand, nine hundred sixty".