105682338 has 48 divisors (see below), whose sum is σ = 237346200. Its totient is φ = 33960960.

The previous prime is 105682337. The next prime is 105682399. The reversal of 105682338 is 833286501.

It can be written as a sum of positive squares in 4 ways, for example, as 79334649 + 26347689 = 8907^2 + 5133^2 .

It is a super-2 number, since 2×105682338² = 22337513130292488, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105682331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64878 + ... + 66486.

Almost surely, 2^105682338 is an apocalyptic number.

105682338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105682338 is an abundant number, since it is smaller than the sum of its proper divisors (131663862).

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

105682338 is a wasteful number, since it uses less digits than its factorization.

105682338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 105682338 is about 10280.1915351807. The cubic root of 105682338 is about 472.7891167498.

The spelling of 105682338 in words is "one hundred five million, six hundred eighty-two thousand, three hundred thirty-eight".