109287360 has 448 divisors, whose sum is σ = 477926400. Its totient is φ = 22892544.

The previous prime is 109287331. The next prime is 109287379. The reversal of 109287360 is 63782901.

109287360 is a `hidden beast` number, since 10 + 9 + 287 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 786171 + ... + 786309.

It is an arithmetic number, because the mean of its divisors is an integer number (1066800).

Almost surely, 2^109287360 is an apocalyptic number.

109287360 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 109287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238963200).

109287360 is an abundant number, since it is smaller than the sum of its proper divisors (368639040).

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

109287360 is a wasteful number, since it uses less digits than its factorization.

109287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 109287360 is about 10454.0594985871. The cubic root of 109287360 is about 478.1050287698.

The spelling of 109287360 in words is "one hundred nine million, two hundred eighty-seven thousand, three hundred sixty".