2007105720 has 32 divisors (see below), whose sum is σ = 6021317520. Its totient is φ = 535228160.

The previous prime is 2007105671. The next prime is 2007105721. The reversal of 2007105720 is 275017002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007105721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8362821 + ... + 8363060.

Almost surely, 2^2007105720 is an apocalyptic number.

2007105720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007105720 is an abundant number, since it is smaller than the sum of its proper divisors (4014211800).

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

2007105720 is a wasteful number, since it uses less digits than its factorization.

2007105720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16725895 (or 16725891 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 2007105720 is about 44800.7334761385. The cubic root of 2007105720 is about 1261.4113939917.

The spelling of 2007105720 in words is "two billion, seven million, one hundred five thousand, seven hundred twenty".