107580 has 48 divisors (see below), whose sum is σ = 330624. Its totient is φ = 25920.

The previous prime is 107563. The next prime is 107581. The reversal of 107580 is 85701.

107580 = T₃₃ + T₃₄ + ... + T₈₇.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107581) by changing a digit.

107580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (6888).

2¹⁰⁷⁵⁸⁰ is an apocalyptic number.

107580 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 107580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165312).

107580 is an abundant number, since it is smaller than the sum of its proper divisors (223044).

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

107580 is a wasteful number, since it uses less digits than its factorization.

107580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 107580 is about 327.9939023823. The cubic root of 107580 is about 47.5602190993.

The spelling of 107580 in words is "one hundred seven thousand, five hundred eighty".