105683640 has 64 divisors (see below), whose sum is σ = 317727360. Its totient is φ = 28122240.

The previous prime is 105683639. The next prime is 105683647. The reversal of 105683640 is 46386501.

It is a super-2 number, since 2×105683640² = 22338063527299200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105683647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108355 + ... + 109325.

It is an arithmetic number, because the mean of its divisors is an integer number (4964490).

Almost surely, 2^105683640 is an apocalyptic number.

105683640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105683640 is an abundant number, since it is smaller than the sum of its proper divisors (212043720).

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

105683640 is a wasteful number, since it uses less digits than its factorization.

105683640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 105683640 is about 10280.2548606540. The cubic root of 105683640 is about 472.7910583196.

The spelling of 105683640 in words is "one hundred five million, six hundred eighty-three thousand, six hundred forty".