105327360 has 216 divisors, whose sum is σ = 374984064. Its totient is φ = 27279360.

The previous prime is 105327307. The next prime is 105327361. The reversal of 105327360 is 63723501.

It is a happy number.

105327360 is a `hidden beast` number, since 1 + 0 + 532 + 73 + 60 = 666.

It is a super-2 number, since 2×105327360² = 22187705529139200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105327361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472209 + ... + 472431.

Almost surely, 2^105327360 is an apocalyptic number.

105327360 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 105327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187492032).

105327360 is an abundant number, since it is smaller than the sum of its proper divisors (269656704).

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

105327360 is a wasteful number, since it uses less digits than its factorization.

105327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 105327360 is about 10262.9118674965. The cubic root of 105327360 is about 472.2591701245.

The spelling of 105327360 in words is "one hundred five million, three hundred twenty-seven thousand, three hundred sixty".