2007106017 has 32 divisors (see below), whose sum is σ = 3227351040. Its totient is φ = 1084702080.

The previous prime is 2007105977. The next prime is 2007106051. The reversal of 2007106017 is 7106017002.

It is not a de Polignac number, because 2007106017 - 2⁶ = 2007105953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2007116017) 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, 19642 + ... + 66332.

It is an arithmetic number, because the mean of its divisors is an integer number (100854720).

Almost surely, 2^2007106017 is an apocalyptic number.

It is an amenable number.

2007106017 is a deficient number, since it is larger than the sum of its proper divisors (1220245023).

2007106017 is a wasteful number, since it uses less digits than its factorization.

2007106017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46813.

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 2007106017 is about 44800.7367908163. The cubic root of 2007106017 is about 1261.4114562105.

The spelling of 2007106017 in words is "two billion, seven million, one hundred six thousand, seventeen".