105682320 has 200 divisors, whose sum is σ = 375940224. Its totient is φ = 27502848.

The previous prime is 105682307. The next prime is 105682327. The reversal of 105682320 is 23286501.

It is a super-2 number, since 2×105682320² = 22337505521164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105682327) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 304387 + ... + 304733.

Almost surely, 2^105682320 is an apocalyptic number.

105682320 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 105682320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187970112).

105682320 is an abundant number, since it is smaller than the sum of its proper divisors (270257904).

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

105682320 is a wasteful number, since it uses less digits than its factorization.

105682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105682320 is about 10280.1906597105. The cubic root of 105682320 is about 472.7890899077.

The spelling of 105682320 in words is "one hundred five million, six hundred eighty-two thousand, three hundred twenty".