4200105 has 64 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 1658880.

The previous prime is 4200103. The next prime is 4200109. The reversal of 4200105 is 5010024.

It is not a de Polignac number, because 4200105 - 2¹ = 4200103 is a prime.

It is a super-2 number, since 2×4200105² = 35281764022050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4200103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23115 + ... + 23295.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 2^4200105 is an apocalyptic number.

It is an amenable number.

4200105 is an abundant number, since it is smaller than the sum of its proper divisors (4605783).

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

4200105 is a wasteful number, since it uses less digits than its factorization.

4200105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 4200105 is about 2049.4157704087. The cubic root of 4200105 is about 161.3442091151.

Adding to 4200105 its reverse (5010024), we get a palindrome (9210129).

The spelling of 4200105 in words is "four million, two hundred thousand, one hundred five".