107505 has 12 divisors (see below), whose sum is σ = 186420. Its totient is φ = 57312.

The previous prime is 107473. The next prime is 107507. The reversal of 107505 is 505701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31329 + 76176 = 177^2 + 276^2 .

It is not a de Polignac number, because 107505 - 2⁵ = 107473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (15535).

2¹⁰⁷⁵⁰⁵ is an apocalyptic number.

107505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107505 is a deficient number, since it is larger than the sum of its proper divisors (78915).

107505 is a wasteful number, since it uses less digits than its factorization.

107505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 107505 is about 327.8795510550. The cubic root of 107505 is about 47.5491642388.

The spelling of 107505 in words is "one hundred seven thousand, five hundred five".