2002105107 has 80 divisors (see below), whose sum is σ = 3261772800. Its totient is φ = 1219743360.

The previous prime is 2002105099. The next prime is 2002105117. The reversal of 2002105107 is 7015012002.

It is not a de Polignac number, because 2002105107 - 2³ = 2002105099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002105107.

It is not an unprimeable number, because it can be changed into a prime (2002105117) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6437482 + ... + 6437792.

It is an arithmetic number, because the mean of its divisors is an integer number (40772160).

Almost surely, 2^2002105107 is an apocalyptic number.

2002105107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2002105107 is a deficient number, since it is larger than the sum of its proper divisors (1259667693).

2002105107 is a wasteful number, since it uses less digits than its factorization.

2002105107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2002105107 is about 44744.8891718373. The cubic root of 2002105107 is about 1260.3629396638.

Adding to 2002105107 its reverse (7015012002), we get a palindrome (9017117109).

The spelling of 2002105107 in words is "two billion, two million, one hundred five thousand, one hundred seven".