4105200 has 120 divisors (see below), whose sum is σ = 14391936. Its totient is φ = 992000.

The previous prime is 4105193. The next prime is 4105217. The reversal of 4105200 is 25014.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×4105200⁴ (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13045 + ... + 13355.

Almost surely, 2^4105200 is an apocalyptic number.

4105200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195968).

4105200 is an abundant number, since it is smaller than the sum of its proper divisors (10286736).

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

4105200 is a wasteful number, since it uses less digits than its factorization.

4105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

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

The square root of 4105200 is about 2026.1293147280. The cubic root of 4105200 is about 160.1197020906.

The spelling of 4105200 in words is "four million, one hundred five thousand, two hundred".