10105320 has 32 divisors (see below), whose sum is σ = 30316320. Its totient is φ = 2694720.

The previous prime is 10105309. The next prime is 10105367. The reversal of 10105320 is 2350101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10105296 and 10105305.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41986 + ... + 42225.

It is an arithmetic number, because the mean of its divisors is an integer number (947385).

Almost surely, 2^10105320 is an apocalyptic number.

10105320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105320 is an abundant number, since it is smaller than the sum of its proper divisors (20211000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10105320 is a wasteful number, since it uses less digits than its factorization.

10105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84225 (or 84221 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10105320 is about 3178.8865975369. The cubic root of 10105320 is about 216.1971793431.

Adding to 10105320 its reverse (2350101), we get a palindrome (12455421).

The spelling of 10105320 in words is "ten million, one hundred five thousand, three hundred twenty".