105305320 has 16 divisors (see below), whose sum is σ = 236937060. Its totient is φ = 42122112.

The previous prime is 105305297. The next prime is 105305363. The reversal of 105305320 is 23503501.

It can be written as a sum of positive squares in 2 ways, for example, as 103917636 + 1387684 = 10194^2 + 1178^2 .

It is a super-2 number, since 2×105305320² = 22178420840604800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1316277 + ... + 1316356.

Almost surely, 2^105305320 is an apocalyptic number.

105305320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105305320 is an abundant number, since it is smaller than the sum of its proper divisors (131631740).

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

105305320 is a wasteful number, since it uses less digits than its factorization.

105305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632644 (or 2632640 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 105305320 is about 10261.8380419884. The cubic root of 105305320 is about 472.2262273760.

Adding to 105305320 its reverse (23503501), we get a palindrome (128808821).

It can be divided in two parts, 105305 and 320, that added together give a square (105625 = 325²).

The spelling of 105305320 in words is "one hundred five million, three hundred five thousand, three hundred twenty".