102180960 has 384 divisors, whose sum is σ = 425779200. Its totient is φ = 22394880.

The previous prime is 102180941. The next prime is 102180977. The reversal of 102180960 is 69081201.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 937386 + ... + 937494.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 2^102180960 is an apocalyptic number.

102180960 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 102180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

102180960 is an abundant number, since it is smaller than the sum of its proper divisors (323598240).

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

102180960 is a wasteful number, since it uses less digits than its factorization.

102180960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 102180960 is about 10108.4598233361. The cubic root of 102180960 is about 467.5090182900.

The spelling of 102180960 in words is "one hundred two million, one hundred eighty thousand, nine hundred sixty".