9960105 has 16 divisors (see below), whose sum is σ = 15975360. Its totient is φ = 5299008.

The previous prime is 9960101. The next prime is 9960107. The reversal of 9960105 is 5010699.

It is not a de Polignac number, because 9960105 - 2² = 9960101 is a prime.

It is a super-2 number, since 2×9960105² = 198407383222050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9960101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11166 + ... + 12024.

It is an arithmetic number, because the mean of its divisors is an integer number (998460).

Almost surely, 2^9960105 is an apocalyptic number.

9960105 is the 2577-th pentagonal number.

It is an amenable number.

9960105 is a deficient number, since it is larger than the sum of its proper divisors (6015255).

9960105 is a wasteful number, since it uses less digits than its factorization.

9960105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 9960105 is about 3155.9634028296. The cubic root of 9960105 is about 215.1565832475.

The spelling of 9960105 in words is "nine million, nine hundred sixty thousand, one hundred five".