109359360 has 216 divisors, whose sum is σ = 413247744. Its totient is φ = 26480640.

The previous prime is 109359359. The next prime is 109359361. The reversal of 109359360 is 63953901.

109359360 = 1383² + 1384² + ... + 1437².

109359360 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 593 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (109359359) and next prime (109359361).

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

It is not an unprimeable number, because it can be changed into a prime (109359361) 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, 126289 + ... + 127151.

It is an arithmetic number, because the mean of its divisors is an integer number (1913184).

Almost surely, 2^109359360 is an apocalyptic number.

109359360 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 109359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206623872).

109359360 is an abundant number, since it is smaller than the sum of its proper divisors (303888384).

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

109359360 is a wasteful number, since it uses less digits than its factorization.

109359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 109359360 is about 10457.5025699256. The cubic root of 109359360 is about 478.2099997542.

The spelling of 109359360 in words is "one hundred nine million, three hundred fifty-nine thousand, three hundred sixty".