2006102417 has 16 divisors (see below), whose sum is σ = 2241214272. Its totient is φ = 1780134720.

The previous prime is 2006102387. The next prime is 2006102443. The reversal of 2006102417 is 7142016002.

It is a cyclic number.

It is not a de Polignac number, because 2006102417 - 2⁶ = 2006102353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2006102392 and 2006102401.

It is not an unprimeable number, because it can be changed into a prime (2006102467) 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, 106118 + ... + 123584.

It is an arithmetic number, because the mean of its divisors is an integer number (140075892).

Almost surely, 2^2006102417 is an apocalyptic number.

It is an amenable number.

2006102417 is a deficient number, since it is larger than the sum of its proper divisors (235111855).

2006102417 is a wasteful number, since it uses less digits than its factorization.

2006102417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17728.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 2006102417 is about 44789.5346816642. The cubic root of 2006102417 is about 1261.2011760713.

Adding to 2006102417 its reverse (7142016002), we get a palindrome (9148118419).

The spelling of 2006102417 in words is "two billion, six million, one hundred two thousand, four hundred seventeen".