105738320 has 20 divisors (see below), whose sum is σ = 245841780. Its totient is φ = 42295296.

The previous prime is 105738307. The next prime is 105738359. The reversal of 105738320 is 23837501.

It can be written as a sum of positive squares in 2 ways, for example, as 22052416 + 83685904 = 4696^2 + 9148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105738320² = 22361184632844800, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 660785 + ... + 660944.

It is an arithmetic number, because the mean of its divisors is an integer number (12292089).

Almost surely, 2^105738320 is an apocalyptic number.

105738320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105738320 is an abundant number, since it is smaller than the sum of its proper divisors (140103460).

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

105738320 is a wasteful number, since it uses less digits than its factorization.

105738320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321742 (or 1321736 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 105738320 is about 10282.9139838861. The cubic root of 105738320 is about 472.8725838921.

The spelling of 105738320 in words is "one hundred five million, seven hundred thirty-eight thousand, three hundred twenty".