105950965 has 8 divisors (see below), whose sum is σ = 127445688. Its totient is φ = 84557760.

The previous prime is 105950951. The next prime is 105950969. The reversal of 105950965 is 569059501.

It can be written as a sum of positive squares in 4 ways, for example, as 1461681 + 104489284 = 1209^2 + 10222^2 .

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

It is not a de Polignac number, because 105950965 - 2⁷ = 105950837 is a prime.

It is a super-2 number, since 2×105950965² = 22451213968862450, 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 (105950969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23062 + ... + 27271.

It is an arithmetic number, because the mean of its divisors is an integer number (15930711).

Almost surely, 2^105950965 is an apocalyptic number.

It is an amenable number.

105950965 is a deficient number, since it is larger than the sum of its proper divisors (21494723).

105950965 is an equidigital number, since it uses as much as digits as its factorization.

105950965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50759.

The product of its (nonzero) digits is 60750, while the sum is 40.

The square root of 105950965 is about 10293.2485154105. The cubic root of 105950965 is about 473.1893616994.

The spelling of 105950965 in words is "one hundred five million, nine hundred fifty thousand, nine hundred sixty-five".