106616105 has 16 divisors (see below), whose sum is σ = 131362128. Its totient is φ = 83040000.

The previous prime is 106616071. The next prime is 106616123. The reversal of 106616105 is 501616601.

It can be written as a sum of positive squares in 8 ways, for example, as 6135529 + 100480576 = 2477^2 + 10024^2 .

It is not a de Polignac number, because 106616105 - 2⁸ = 106615849 is a prime.

It is a super-2 number, since 2×106616105² = 22733987690742050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29075 + ... + 32535.

It is an arithmetic number, because the mean of its divisors is an integer number (8210133).

Almost surely, 2^106616105 is an apocalyptic number.

It is an amenable number.

106616105 is a deficient number, since it is larger than the sum of its proper divisors (24746023).

106616105 is a wasteful number, since it uses less digits than its factorization.

106616105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 106616105 is about 10325.5074935811. The cubic root of 106616105 is about 474.1774943999.

It can be divided in two parts, 1066 and 16105, that added together give a palindrome (17171).

The spelling of 106616105 in words is "one hundred six million, six hundred sixteen thousand, one hundred five".