4208100 has 108 divisors (see below), whose sum is σ = 13342896. Its totient is φ = 1023360.

The previous prime is 4208081. The next prime is 4208107. The reversal of 4208100 is 18024.

It is a super-2 number, since 2×4208100² = 35416211220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4208100.

It is not an unprimeable number, because it can be changed into a prime (4208107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50659 + ... + 50741.

Almost surely, 2^4208100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4208100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671448).

4208100 is an abundant number, since it is smaller than the sum of its proper divisors (9134796).

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

4208100 is a wasteful number, since it uses less digits than its factorization.

4208100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4208100 is about 2051.3653989477. The cubic root of 4208100 is about 161.4465184094.

The spelling of 4208100 in words is "four million, two hundred eight thousand, one hundred".