105819696 has 120 divisors (see below), whose sum is σ = 325385424. Its totient is φ = 33177600.

The previous prime is 105819691. The next prime is 105819719. The reversal of 105819696 is 696918501.

105819696 is a `hidden beast` number, since 1 + 0 + 581 + 9 + 69 + 6 = 666.

It is a super-2 number, since 2×105819696² = 22395616123064832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105819691) 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 23 ways as a sum of consecutive naturals, for example, 65296 + ... + 66896.

Almost surely, 2^105819696 is an apocalyptic number.

105819696 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 105819696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162692712).

105819696 is an abundant number, since it is smaller than the sum of its proper divisors (219565728).

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

105819696 is a wasteful number, since it uses less digits than its factorization.

105819696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 105819696 is about 10286.8700779197. The cubic root of 105819696 is about 472.9938600517.

The spelling of 105819696 in words is "one hundred five million, eight hundred nineteen thousand, six hundred ninety-six".