4216100 has 72 divisors (see below), whose sum is σ = 11040960. Its totient is φ = 1365120.

The previous prime is 4216073. The next prime is 4216117. The reversal of 4216100 is 16124.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13142 + ... + 13458.

Almost surely, 2^4216100 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 4216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520480).

4216100 is an abundant number, since it is smaller than the sum of its proper divisors (6824860).

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

4216100 is a wasteful number, since it uses less digits than its factorization.

4216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4216100 is about 2053.3143938520. The cubic root of 4216100 is about 161.5487620619.

The spelling of 4216100 in words is "four million, two hundred sixteen thousand, one hundred".