107541 has 16 divisors (see below), whose sum is σ = 182400. Its totient is φ = 61344.

The previous prime is 107509. The next prime is 107563. The reversal of 107541 is 145701.

It is not a de Polignac number, because 107541 - 2⁵ = 107509 is a prime.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (11400).

2¹⁰⁷⁵⁴¹ is an apocalyptic number.

It is an amenable number.

107541 is a deficient number, since it is larger than the sum of its proper divisors (74859).

107541 is an equidigital number, since it uses as much as digits as its factorization.

107541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107541 is about 327.9344446684. The cubic root of 107541 is about 47.5544712133.

The spelling of 107541 in words is "one hundred seven thousand, five hundred forty-one".