4118100 has 144 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 898560.

The previous prime is 4118077. The next prime is 4118111. The reversal of 4118100 is 18114.

It is a super-2 number, since 2×4118100² = 33917495220000, 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 4118100.

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 47 ways as a sum of consecutive naturals, for example, 77674 + ... + 77726.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

Almost surely, 2^4118100 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 4118100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

4118100 is an abundant number, since it is smaller than the sum of its proper divisors (10130988).

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

4118100 is a wasteful number, since it uses less digits than its factorization.

4118100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 4118100 is about 2029.3102276389. The cubic root of 4118100 is about 160.2872444246.

The spelling of 4118100 in words is "four million, one hundred eighteen thousand, one hundred".