105800704 has 44 divisors (see below), whose sum is σ = 212830684. Its totient is φ = 52568064.

The previous prime is 105800701. The next prime is 105800711. The reversal of 105800704 is 407008501.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 69222400 = 6048^2 + 8320^2 .

It is a super-2 number, since 2×105800704² = 22387577933791232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105800701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283462 + ... + 283834.

It is an arithmetic number, because the mean of its divisors is an integer number (4837061).

Almost surely, 2^105800704 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 105800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106415342).

105800704 is an abundant number, since it is smaller than the sum of its proper divisors (107029980).

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

105800704 is an equidigital number, since it uses as much as digits as its factorization.

105800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 105800704 is about 10285.9469180042. The cubic root of 105800704 is about 472.9655614860.

The spelling of 105800704 in words is "one hundred five million, eight hundred thousand, seven hundred four".