10105329 has 32 divisors (see below), whose sum is σ = 15321600. Its totient is φ = 5882112.

The previous prime is 10105309. The next prime is 10105367. The reversal of 10105329 is 92350101.

10105329 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10105329 - 2¹³ = 10097137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10105309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67747 + ... + 67895.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^10105329 is an apocalyptic number.

It is an amenable number.

10105329 is a deficient number, since it is larger than the sum of its proper divisors (5216271).

10105329 is a wasteful number, since it uses less digits than its factorization.

10105329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10105329 is about 3178.8880131266. Note that the first 3 decimals coincide. The cubic root of 10105329 is about 216.1972435262.

The spelling of 10105329 in words is "ten million, one hundred five thousand, three hundred twenty-nine".