105616864 has 36 divisors (see below), whose sum is σ = 211636152. Its totient is φ = 51884160.

The previous prime is 105616859. The next prime is 105616867. The reversal of 105616864 is 468616501.

It is a super-2 number, since 2×105616864² = 22309843922388992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105616867) 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 5 ways as a sum of consecutive naturals, for example, 118629 + ... + 119515.

It is an arithmetic number, because the mean of its divisors is an integer number (5878782).

Almost surely, 2^105616864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105616864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105818076).

105616864 is an abundant number, since it is smaller than the sum of its proper divisors (106019288).

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

105616864 is an frugal number, since it uses more digits than its factorization.

105616864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 105616864 is about 10277.0065680625. The cubic root of 105616864 is about 472.6914599730.

The spelling of 105616864 in words is "one hundred five million, six hundred sixteen thousand, eight hundred sixty-four".