10105065 has 24 divisors (see below), whose sum is σ = 17945928. Its totient is φ = 5256960.

The previous prime is 10105061. The next prime is 10105091. The reversal of 10105065 is 56050101.

It can be written as a sum of positive squares in 4 ways, for example, as 1671849 + 8433216 = 1293^2 + 2904^2 .

It is not a de Polignac number, because 10105065 - 2² = 10105061 is a prime.

It is a super-2 number, since 2×10105065² = 204224677308450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10105061) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 894 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (747747).

Almost surely, 2^10105065 is an apocalyptic number.

10105065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10105065 is a deficient number, since it is larger than the sum of its proper divisors (7840863).

10105065 is a wasteful number, since it uses less digits than its factorization.

10105065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10105065 is about 3178.8464889013. The cubic root of 10105065 is about 216.1953608044.

Adding to 10105065 its reverse (56050101), we get a palindrome (66155166).

The spelling of 10105065 in words is "ten million, one hundred five thousand, sixty-five".