106405945 has 8 divisors (see below), whose sum is σ = 127865736. Its totient is φ = 85005696.

The previous prime is 106405933. The next prime is 106405963. The reversal of 106405945 is 549504601.

It can be written as a sum of positive squares in 4 ways, for example, as 30437289 + 75968656 = 5517^2 + 8716^2 .

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 106405945 - 2¹⁵ = 106373177 is a prime.

It is a super-2 number, since 2×106405945² = 22644450262686050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106405945.

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, 10852 + ... + 18181.

It is an arithmetic number, because the mean of its divisors is an integer number (15983217).

Almost surely, 2^106405945 is an apocalyptic number.

It is an amenable number.

106405945 is a deficient number, since it is larger than the sum of its proper divisors (21459791).

106405945 is an equidigital number, since it uses as much as digits as its factorization.

106405945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29771.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 106405945 is about 10315.3257340716. The cubic root of 106405945 is about 473.8657257033.

The spelling of 106405945 in words is "one hundred six million, four hundred five thousand, nine hundred forty-five".