4130100 has 108 divisors (see below), whose sum is σ = 13980876. Its totient is φ = 1013760.

The previous prime is 4130039. The next prime is 4130111. The reversal of 4130100 is 10314.

4130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 580644 + 3549456 = 762^2 + 1884^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11524 + ... + 11876.

Almost surely, 2^4130100 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 4130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990438).

4130100 is an abundant number, since it is smaller than the sum of its proper divisors (9850776).

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

4130100 is a wasteful number, since it uses less digits than its factorization.

4130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4130100 is about 2032.2647465328. The cubic root of 4130100 is about 160.4427839263.

Adding to 4130100 its reverse (10314), we get a palindrome (4140414).

The spelling of 4130100 in words is "four million, one hundred thirty thousand, one hundred".