106312617 has 6 divisors (see below), whose sum is σ = 153562682. Its totient is φ = 70875072.

The previous prime is 106312603. The next prime is 106312639. The reversal of 106312617 is 716213601.

106312617 is a `hidden beast` number, since 1 + 0 + 631 + 26 + 1 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 45846441 = 7776^2 + 6771^2 .

It is not a de Polignac number, because 106312617 - 2⁶ = 106312553 is a prime.

It is a super-2 number, since 2×106312617² = 22604745066777378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106312667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5906248 + ... + 5906265.

Almost surely, 2^106312617 is an apocalyptic number.

It is an amenable number.

106312617 is a deficient number, since it is larger than the sum of its proper divisors (47250065).

106312617 is a wasteful number, since it uses less digits than its factorization.

106312617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11812519 (or 11812516 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106312617 is about 10310.8009873142. The cubic root of 106312617 is about 473.7271436076.

It can be divided in two parts, 106312 and 617, that added together give a square (106929 = 327²).

The spelling of 106312617 in words is "one hundred six million, three hundred twelve thousand, six hundred seventeen".