106276617 has 20 divisors (see below), whose sum is σ = 163054276. Its totient is φ = 68934240.

The previous prime is 106276609. The next prime is 106276627. The reversal of 106276617 is 716672601.

106276617 is a `hidden beast` number, since 10 + 6 + 27 + 6 + 617 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71419401 + 34857216 = 8451^2 + 5904^2 .

It is not a de Polignac number, because 106276617 - 2³ = 106276609 is a prime.

It is a super-2 number, since 2×106276617² = 22589438641929378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106276627) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 14734 + ... + 20727.

Almost surely, 2^106276617 is an apocalyptic number.

It is an amenable number.

106276617 is a deficient number, since it is larger than the sum of its proper divisors (56777659).

106276617 is an equidigital number, since it uses as much as digits as its factorization.

106276617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35510 (or 35501 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106276617 is about 10309.0550973404. The cubic root of 106276617 is about 473.6736657828.

The spelling of 106276617 in words is "one hundred six million, two hundred seventy-six thousand, six hundred seventeen".