105416965 has 4 divisors (see below), whose sum is σ = 126500364. Its totient is φ = 84333568.

The previous prime is 105416963. The next prime is 105416977. The reversal of 105416965 is 569614501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 569614501 = 491 ⋅1160111.

It can be written as a sum of positive squares in 2 ways, for example, as 23097636 + 82319329 = 4806^2 + 9073^2 .

It is a cyclic number.

It is not a de Polignac number, because 105416965 - 2¹ = 105416963 is a prime.

It is a super-2 number, since 2×105416965² = 22225473019622450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105416963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10541692 + ... + 10541701.

It is an arithmetic number, because the mean of its divisors is an integer number (31625091).

Almost surely, 2^105416965 is an apocalyptic number.

It is an amenable number.

105416965 is a deficient number, since it is larger than the sum of its proper divisors (21083399).

105416965 is an equidigital number, since it uses as much as digits as its factorization.

105416965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21083398.

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 105416965 is about 10267.2764158758. The cubic root of 105416965 is about 472.3930536301.

The spelling of 105416965 in words is "one hundred five million, four hundred sixteen thousand, nine hundred sixty-five".