107105965 has 8 divisors (see below), whose sum is σ = 130288248. Its totient is φ = 84510720.

The previous prime is 107105941. The next prime is 107105987. The reversal of 107105965 is 569501701.

It can be written as a sum of positive squares in 4 ways, for example, as 14600041 + 92505924 = 3821^2 + 9618^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-107105965 is a prime.

It is a super-2 number, since 2×107105965² = 22943375477162450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107105965.

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, 146356 + ... + 147085.

It is an arithmetic number, because the mean of its divisors is an integer number (16286031).

Almost surely, 2^107105965 is an apocalyptic number.

It is an amenable number.

107105965 is a deficient number, since it is larger than the sum of its proper divisors (23182283).

107105965 is an equidigital number, since it uses as much as digits as its factorization.

107105965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293519.

The product of its (nonzero) digits is 9450, while the sum is 34.

The square root of 107105965 is about 10349.2011769025. The cubic root of 107105965 is about 474.9026060705.

The spelling of 107105965 in words is "one hundred seven million, one hundred five thousand, nine hundred sixty-five".