107965 has 16 divisors (see below), whose sum is σ = 153216. Its totient is φ = 72000.

The previous prime is 107951. The next prime is 107971. The reversal of 107965 is 569701.

107965 = T₂₂ + T₂₃ + ... + T₈₆.

It is a happy number.

It is not a de Polignac number, because 107965 - 2⁷ = 107837 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 640 + ... + 790.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2¹⁰⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

107965 is a deficient number, since it is larger than the sum of its proper divisors (45251).

107965 is a wasteful number, since it uses less digits than its factorization.

107965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 107965 is about 328.5802793839. The cubic root of 107965 is about 47.6168866480.

It can be divided in two parts, 10796 and 5, that added together give a palindrome (10801).

The spelling of 107965 in words is "one hundred seven thousand, nine hundred sixty-five".