10105073 has 12 divisors (see below), whose sum is σ = 11593344. Its totient is φ = 8784600.

The previous prime is 10105061. The next prime is 10105091. The reversal of 10105073 is 37050101.

10105073 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10105073 - 2⁴ = 10105057 is a prime.

It is a super-2 number, since 2×10105073² = 204225000670658, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105013) 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 11 ways as a sum of consecutive naturals, for example, 968 + ... + 4598.

It is an arithmetic number, because the mean of its divisors is an integer number (966112).

Almost surely, 2^10105073 is an apocalyptic number.

It is an amenable number.

10105073 is a deficient number, since it is larger than the sum of its proper divisors (1488271).

10105073 is a wasteful number, since it uses less digits than its factorization.

10105073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 10105073 is about 3178.8477472191. The cubic root of 10105073 is about 216.1954178571.

Adding to 10105073 its reverse (37050101), we get a palindrome (47155174).

The spelling of 10105073 in words is "ten million, one hundred five thousand, seventy-three".