107287680 has 256 divisors, whose sum is σ = 383356800. Its totient is φ = 25362432.

The previous prime is 107287673. The next prime is 107287681. The reversal of 107287680 is 86782701.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107287681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620074 + ... + 620246.

Almost surely, 2^107287680 is an apocalyptic number.

107287680 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 107287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191678400).

107287680 is an abundant number, since it is smaller than the sum of its proper divisors (276069120).

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

107287680 is a wasteful number, since it uses less digits than its factorization.

107287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 107287680 is about 10357.9766363899. The cubic root of 107287680 is about 475.1710261331.

The spelling of 107287680 in words is "one hundred seven million, two hundred eighty-seven thousand, six hundred eighty".