4182830100 has 216 divisors, whose sum is σ = 13507760448. Its totient is φ = 1082188800.

The previous prime is 4182830087. The next prime is 4182830137. The reversal of 4182830100 is 10382814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4280812 + ... + 4281788.

It is an arithmetic number, because the mean of its divisors is an integer number (62535928).

Almost surely, 2^4182830100 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 4182830100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753880224).

4182830100 is an abundant number, since it is smaller than the sum of its proper divisors (9324930348).

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

4182830100 is a wasteful number, since it uses less digits than its factorization.

4182830100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4182830100 is about 64674.8026668810. The cubic root of 4182830100 is about 1611.2270393351.

The spelling of 4182830100 in words is "four billion, one hundred eighty-two million, eight hundred thirty thousand, one hundred".