105682720 has 192 divisors, whose sum is σ = 304819200. Its totient is φ = 34099200.

The previous prime is 105682697. The next prime is 105682781. The reversal of 105682720 is 27286501.

It is a super-2 number, since 2×105682720² = 22337674613196800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 31 ways as a sum of consecutive naturals, for example, 709206 + ... + 709354.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^105682720 is an apocalyptic number.

105682720 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 105682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

105682720 is an abundant number, since it is smaller than the sum of its proper divisors (199136480).

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

105682720 is a wasteful number, since it uses less digits than its factorization.

105682720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 105682720 is about 10280.2101145842. The cubic root of 105682720 is about 472.7896863979.

The spelling of 105682720 in words is "one hundred five million, six hundred eighty-two thousand, seven hundred twenty".