3000106517 has 32 divisors (see below), whose sum is σ = 3322176000. Its totient is φ = 2699282880.

The previous prime is 3000106481. The next prime is 3000106559. The reversal of 3000106517 is 7156010003.

It is not a de Polignac number, because 3000106517 - 2¹⁴ = 3000090133 is a prime.

It is a super-2 number, since 2×3000106517² = 18001278226691742578, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3000106492 and 3000106501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000106567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5253842 + ... + 5254412.

It is an arithmetic number, because the mean of its divisors is an integer number (103818000).

Almost surely, 2^3000106517 is an apocalyptic number.

It is an amenable number.

3000106517 is a deficient number, since it is larger than the sum of its proper divisors (322069483).

3000106517 is a wasteful number, since it uses less digits than its factorization.

3000106517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 3000106517 is about 54773.2281046133. The cubic root of 3000106517 is about 1442.2666394496.

The spelling of 3000106517 in words is "three billion, one hundred six thousand, five hundred seventeen".