2007105716 has 48 divisors (see below), whose sum is σ = 4406115840. Its totient is φ = 777172320.

The previous prime is 2007105671. The next prime is 2007105721. The reversal of 2007105716 is 6175017002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30215 + ... + 70193.

It is an arithmetic number, because the mean of its divisors is an integer number (91794080).

Almost surely, 2^2007105716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007105716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203057920).

2007105716 is an abundant number, since it is smaller than the sum of its proper divisors (2399010124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2007105716 is a wasteful number, since it uses less digits than its factorization.

2007105716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40164 (or 40162 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 2007105716 is about 44800.7334314964. The cubic root of 2007105716 is about 1261.4113931537.

The spelling of 2007105716 in words is "two billion, seven million, one hundred five thousand, seven hundred sixteen".