106616609 has 12 divisors (see below), whose sum is σ = 117465600. Its totient is φ = 96696600.

The previous prime is 106616591. The next prime is 106616611. The reversal of 106616609 is 906616601.

It is not a de Polignac number, because 106616609 - 2¹⁶ = 106551073 is a prime.

It is a super-2 number, since 2×106616609² = 22734202629317762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106616669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71744 + ... + 73214.

It is an arithmetic number, because the mean of its divisors is an integer number (9788800).

Almost surely, 2^106616609 is an apocalyptic number.

It is an amenable number.

106616609 is a deficient number, since it is larger than the sum of its proper divisors (10848991).

106616609 is a wasteful number, since it uses less digits than its factorization.

106616609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 106616609 is about 10325.5318991324. The cubic root of 106616609 is about 474.1782415824.

The spelling of 106616609 in words is "one hundred six million, six hundred sixteen thousand, six hundred nine".