105301320 has 64 divisors (see below), whose sum is σ = 326808000. Its totient is φ = 27111168.

The previous prime is 105301309. The next prime is 105301369. The reversal of 105301320 is 23103501.

It is a happy number.

It is a super-2 number, since 2×105301320² = 22176735987484800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105301320.

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 15 ways as a sum of consecutive naturals, for example, 11650 + ... + 18609.

It is an arithmetic number, because the mean of its divisors is an integer number (5106375).

Almost surely, 2^105301320 is an apocalyptic number.

105301320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105301320 is an abundant number, since it is smaller than the sum of its proper divisors (221506680).

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

105301320 is a wasteful number, since it uses less digits than its factorization.

105301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30302 (or 30298 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105301320 is about 10261.6431432788. The cubic root of 105301320 is about 472.2202481630.

Adding to 105301320 its reverse (23103501), we get a palindrome (128404821).

The spelling of 105301320 in words is "one hundred five million, three hundred one thousand, three hundred twenty".