105680512 has 64 divisors (see below), whose sum is σ = 243820800. Its totient is φ = 44688384.

The previous prime is 105680503. The next prime is 105680513. The reversal of 105680512 is 215086501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105680512² = 22336741233164288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (105680513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70038 + ... + 71530.

It is an arithmetic number, because the mean of its divisors is an integer number (3809700).

Almost surely, 2^105680512 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 105680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121910400).

105680512 is an abundant number, since it is smaller than the sum of its proper divisors (138140288).

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

105680512 is an equidigital number, since it uses as much as digits as its factorization.

105680512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 105680512 is about 10280.1027232222. The cubic root of 105680512 is about 472.7863937534.

The spelling of 105680512 in words is "one hundred five million, six hundred eighty thousand, five hundred twelve".