105313320 has 288 divisors, whose sum is σ = 414086400. Its totient is φ = 22733568.

The previous prime is 105313319. The next prime is 105313331. The reversal of 105313320 is 23313501.

It is a super-2 number, since 2×105313320² = 22181790738844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105313293 and 105313302.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1333041 + ... + 1333119.

It is an arithmetic number, because the mean of its divisors is an integer number (1437800).

Almost surely, 2^105313320 is an apocalyptic number.

105313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207043200).

105313320 is an abundant number, since it is smaller than the sum of its proper divisors (308773080).

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

105313320 is a wasteful number, since it uses less digits than its factorization.

105313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

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

The square root of 105313320 is about 10262.2278283032. The cubic root of 105313320 is about 472.2381853479.

Adding to 105313320 its reverse (23313501), we get a palindrome (128626821).

The spelling of 105313320 in words is "one hundred five million, three hundred thirteen thousand, three hundred twenty".