107540 has 24 divisors (see below), whose sum is σ = 238560. Its totient is φ = 40608.

The previous prime is 107509. The next prime is 107563. The reversal of 107540 is 45701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (9940).

2¹⁰⁷⁵⁴⁰ is an apocalyptic number.

107540 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 107540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119280).

107540 is an abundant number, since it is smaller than the sum of its proper divisors (131020).

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

107540 is a wasteful number, since it uses less digits than its factorization.

107540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 107540 is about 327.9329199699. The cubic root of 107540 is about 47.5543238133.

The spelling of 107540 in words is "one hundred seven thousand, five hundred forty".