105065193 has 16 divisors (see below), whose sum is σ = 147813120. Its totient is φ = 66198096.

The previous prime is 105065189. The next prime is 105065197. The reversal of 105065193 is 391560501.

It is an interprime number because it is at equal distance from previous prime (105065189) and next prime (105065197).

It is not a de Polignac number, because 105065193 - 2² = 105065189 is a prime.

It is a super-2 number, since 2×105065193² = 22077389560254498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105065193.

It is not an unprimeable number, because it can be changed into a prime (105065197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24646 + ... + 28592.

It is an arithmetic number, because the mean of its divisors is an integer number (9238320).

Almost surely, 2^105065193 is an apocalyptic number.

It is an amenable number.

105065193 is a deficient number, since it is larger than the sum of its proper divisors (42747927).

105065193 is a wasteful number, since it uses less digits than its factorization.

105065193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 105065193 is about 10250.1313650119. The cubic root of 105065193 is about 471.8670161244.

The spelling of 105065193 in words is "one hundred five million, sixty-five thousand, one hundred ninety-three".