4202105 has 16 divisors (see below), whose sum is σ = 5221584. Its totient is φ = 3244800.

The previous prime is 4202083. The next prime is 4202113. The reversal of 4202105 is 5012024.

It can be written as a sum of positive squares in 8 ways, for example, as 218089 + 3984016 = 467^2 + 1996^2 .

It is not a de Polignac number, because 4202105 - 2⁸ = 4201849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4202105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26687 + ... + 26843.

It is an arithmetic number, because the mean of its divisors is an integer number (326349).

Almost surely, 2^4202105 is an apocalyptic number.

It is an amenable number.

4202105 is a deficient number, since it is larger than the sum of its proper divisors (1019479).

4202105 is a wasteful number, since it uses less digits than its factorization.

4202105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316.

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4202105 is about 2049.9036562727. The cubic root of 4202105 is about 161.3698146030.

Adding to 4202105 its reverse (5012024), we get a palindrome (9214129).

The spelling of 4202105 in words is "four million, two hundred two thousand, one hundred five".