107135 has 8 divisors (see below), whose sum is σ = 146976. Its totient is φ = 73440.

The previous prime is 107123. The next prime is 107137. The reversal of 107135 is 531701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 107135 - 2⁴ = 107119 is a prime.

It is a super-2 number, since 2×107135² = 22955816450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1496 + ... + 1565.

It is an arithmetic number, because the mean of its divisors is an integer number (18372).

2¹⁰⁷¹³⁵ is an apocalyptic number.

107135 is a deficient number, since it is larger than the sum of its proper divisors (39841).

107135 is an equidigital number, since it uses as much as digits as its factorization.

107135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 107135 is about 327.3148331500. The cubic root of 107135 is about 47.4945515450.

Adding to 107135 its reverse (531701), we get a palindrome (638836).

It can be divided in two parts, 107 and 135, that added together give a palindrome (242).

The spelling of 107135 in words is "one hundred seven thousand, one hundred thirty-five".