106272617 has 16 divisors (see below), whose sum is σ = 121478400. Its totient is φ = 92077440.

The previous prime is 106272601. The next prime is 106272623. The reversal of 106272617 is 716272601.

It is a cyclic number.

It is not a de Polignac number, because 106272617 - 2⁴ = 106272601 is a prime.

It is a super-2 number, since 2×106272617² = 22587738248057378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106272637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23093 + ... + 27309.

It is an arithmetic number, because the mean of its divisors is an integer number (7592400).

Almost surely, 2^106272617 is an apocalyptic number.

It is an amenable number.

106272617 is a deficient number, since it is larger than the sum of its proper divisors (15205783).

106272617 is a wasteful number, since it uses less digits than its factorization.

106272617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 106272617 is about 10308.8610913136. The cubic root of 106272617 is about 473.6677230568.

The spelling of 106272617 in words is "one hundred six million, two hundred seventy-two thousand, six hundred seventeen".