106024617 has 18 divisors (see below), whose sum is σ = 161636202. Its totient is φ = 66960864.

The previous prime is 106024603. The next prime is 106024637. The reversal of 106024617 is 716420601.

106024617 is a `hidden beast` number, since 1 + 0 + 602 + 46 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97239321 + 8785296 = 9861^2 + 2964^2 .

It is not a de Polignac number, because 106024617 - 2¹² = 106020521 is a prime.

It is a super-2 number, since 2×106024617² = 22482438819993378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106024637) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13068 + ... + 19565.

It is an arithmetic number, because the mean of its divisors is an integer number (8979789).

Almost surely, 2^106024617 is an apocalyptic number.

It is an amenable number.

106024617 is a deficient number, since it is larger than the sum of its proper divisors (55611585).

106024617 is a wasteful number, since it uses less digits than its factorization.

106024617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32677 (or 32655 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106024617 is about 10296.8255787888. The cubic root of 106024617 is about 473.2989824418.

The spelling of 106024617 in words is "one hundred six million, twenty-four thousand, six hundred seventeen".