103213305 has 64 divisors (see below), whose sum is σ = 206277120. Its totient is φ = 48584448.

The previous prime is 103213303. The next prime is 103213321. The reversal of 103213305 is 503312301.

103213305 is a `hidden beast` number, since 10 + 321 + 330 + 5 = 666.

It is not a de Polignac number, because 103213305 - 2¹ = 103213303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103213303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39087 + ... + 41643.

It is an arithmetic number, because the mean of its divisors is an integer number (3223080).

Almost surely, 2^103213305 is an apocalyptic number.

103213305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103213305 is a deficient number, since it is larger than the sum of its proper divisors (103063815).

103213305 is a wasteful number, since it uses less digits than its factorization.

103213305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 103213305 is about 10159.3949130841. The cubic root of 103213305 is about 469.0781765867.

Adding to 103213305 its reverse (503312301), we get a palindrome (606525606).

The spelling of 103213305 in words is "one hundred three million, two hundred thirteen thousand, three hundred five".