105943616 has 56 divisors (see below), whose sum is σ = 220528896. Its totient is φ = 50434560.

The previous prime is 105943577. The next prime is 105943633. The reversal of 105943616 is 616349501.

It is a super-2 number, since 2×105943616² = 22448099542310912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132530 + ... + 133326.

It is an arithmetic number, because the mean of its divisors is an integer number (3938016).

Almost surely, 2^105943616 is an apocalyptic number.

105943616 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 105943616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110264448).

105943616 is an abundant number, since it is smaller than the sum of its proper divisors (114585280).

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

105943616 is an equidigital number, since it uses as much as digits as its factorization.

105943616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 105943616 is about 10292.8915276515. The cubic root of 105943616 is about 473.1784209495.

The spelling of 105943616 in words is "one hundred five million, nine hundred forty-three thousand, six hundred sixteen".