105683616 has 72 divisors (see below), whose sum is σ = 311691744. Its totient is φ = 35225280.

The previous prime is 105683587. The next prime is 105683639. The reversal of 105683616 is 616386501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105683616² = 22338053381670912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 981 + ... + 14571.

It is an arithmetic number, because the mean of its divisors is an integer number (4329052).

Almost surely, 2^105683616 is an apocalyptic number.

105683616 is a gapful number since it is divisible by the number (16) 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 105683616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155845872).

105683616 is an abundant number, since it is smaller than the sum of its proper divisors (206008128).

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

105683616 is an equidigital number, since it uses as much as digits as its factorization.

105683616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13616 (or 13596 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105683616 is about 10280.2536933677. The cubic root of 105683616 is about 472.7910225305.

The spelling of 105683616 in words is "one hundred five million, six hundred eighty-three thousand, six hundred sixteen".