105260320 has 72 divisors (see below), whose sum is σ = 273390012. Its totient is φ = 38269440.

The previous prime is 105260303. The next prime is 105260321. The reversal of 105260320 is 23062501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 105103504 + 156816 = 10252^2 + 396^2 .

It is a super-2 number, since 2×105260320² = 22159469933004800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105260321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16642 + ... + 22078.

Almost surely, 2^105260320 is an apocalyptic number.

105260320 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 105260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136695006).

105260320 is an abundant number, since it is smaller than the sum of its proper divisors (168129692).

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

105260320 is a wasteful number, since it uses less digits than its factorization.

105260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 105260320 is about 10259.6452180375. The cubic root of 105260320 is about 472.1589524973.

The spelling of 105260320 in words is "one hundred five million, two hundred sixty thousand, three hundred twenty".