107271360 has 336 divisors, whose sum is σ = 447909696. Its totient is φ = 23003136.

The previous prime is 107271341. The next prime is 107271371. The reversal of 107271360 is 63172701.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342564 + ... + 342876.

Almost surely, 2^107271360 is an apocalyptic number.

107271360 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 107271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223954848).

107271360 is an abundant number, since it is smaller than the sum of its proper divisors (340638336).

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

107271360 is a wasteful number, since it uses less digits than its factorization.

107271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107271360 is about 10357.1888077798. The cubic root of 107271360 is about 475.1469314611.

The spelling of 107271360 in words is "one hundred seven million, two hundred seventy-one thousand, three hundred sixty".