106105705 has 8 divisors (see below), whose sum is σ = 127801800. Its totient is φ = 84567936.

The previous prime is 106105697. The next prime is 106105771. The reversal of 106105705 is 507501601.

It can be written as a sum of positive squares in 4 ways, for example, as 9339136 + 96766569 = 3056^2 + 9837^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106105705 - 2³ = 106105697 is a prime.

It is a super-2 number, since 2×106105705² = 22516841267094050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106105705.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38100 + ... + 40789.

It is an arithmetic number, because the mean of its divisors is an integer number (15975225).

Almost surely, 2^106105705 is an apocalyptic number.

It is an amenable number.

106105705 is a deficient number, since it is larger than the sum of its proper divisors (21696095).

106105705 is an equidigital number, since it uses as much as digits as its factorization.

106105705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79163.

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 106105705 is about 10300.7623504282. The cubic root of 106105705 is about 473.4196119366.

The spelling of 106105705 in words is "one hundred six million, one hundred five thousand, seven hundred five".