10105305 has 32 divisors (see below), whose sum is σ = 18626304. Its totient is φ = 4582656.

The previous prime is 10105267. The next prime is 10105309. The reversal of 10105305 is 50350101.

10105305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10105305 - 2⁶ = 10105241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 16179 + ... + 16791.

It is an arithmetic number, because the mean of its divisors is an integer number (582072).

Almost surely, 2^10105305 is an apocalyptic number.

10105305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10105305 is a deficient number, since it is larger than the sum of its proper divisors (8520999).

10105305 is a wasteful number, since it uses less digits than its factorization.

10105305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 10105305 is about 3178.8842382194. The cubic root of 10105305 is about 216.1970723711.

Adding to 10105305 its reverse (50350101), we get a palindrome (60455406).

The spelling of 10105305 in words is "ten million, one hundred five thousand, three hundred five".