105682120 has 64 divisors (see below), whose sum is σ = 243285120. Its totient is φ = 41309184.

The previous prime is 105682103. The next prime is 105682121. The reversal of 105682120 is 21286501.

It is a super-2 number, since 2×105682120² = 22337420975388800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105682121) 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 15 ways as a sum of consecutive naturals, for example, 465447 + ... + 465673.

It is an arithmetic number, because the mean of its divisors is an integer number (3801330).

Almost surely, 2^105682120 is an apocalyptic number.

105682120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105682120 is an abundant number, since it is smaller than the sum of its proper divisors (137603000).

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

105682120 is a wasteful number, since it uses less digits than its factorization.

105682120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 105682120 is about 10280.1809322599. The cubic root of 105682120 is about 472.7887916621.

The spelling of 105682120 in words is "one hundred five million, six hundred eighty-two thousand, one hundred twenty".