107587680 has 192 divisors, whose sum is σ = 359251200. Its totient is φ = 27023360.

The previous prime is 107587673. The next prime is 107587703. The reversal of 107587680 is 86785701.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 821215 + ... + 821345.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 2^107587680 is an apocalyptic number.

107587680 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 107587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

107587680 is an abundant number, since it is smaller than the sum of its proper divisors (251663520).

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

107587680 is a wasteful number, since it uses less digits than its factorization.

107587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 107587680 is about 10372.4481198992. The cubic root of 107587680 is about 475.6135082695.

The spelling of 107587680 in words is "one hundred seven million, five hundred eighty-seven thousand, six hundred eighty".