105408320 has 28 divisors (see below), whose sum is σ = 251004324. Its totient is φ = 42163200.

The previous prime is 105408311. The next prime is 105408337. The reversal of 105408320 is 23804501.

It can be written as a sum of positive squares in 2 ways, for example, as 33362176 + 72046144 = 5776^2 + 8488^2 .

It is a super-2 number, since 2×105408320² = 22221827850444800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164381 + ... + 165020.

Almost surely, 2^105408320 is an apocalyptic number.

105408320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105408320 is an abundant number, since it is smaller than the sum of its proper divisors (145596004).

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

105408320 is an equidigital number, since it uses as much as digits as its factorization.

105408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329418 (or 329408 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 105408320 is about 10266.8554095205. The cubic root of 105408320 is about 472.3801399921.

The spelling of 105408320 in words is "one hundred five million, four hundred eight thousand, three hundred twenty".