4630518100 has 72 divisors (see below), whose sum is σ = 10933020728. Its totient is φ = 1692057600.

The previous prime is 4630518071. The next prime is 4630518107. The reversal of 4630518100 is 18150364.

It can be written as a sum of positive squares in 12 ways, for example, as 3838545936 + 791972164 = 61956^2 + 28142^2 .

It is a super-2 number, since 2×4630518100² = 42883395748855220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630518107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107740 + ... + 144460.

Almost surely, 2^4630518100 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 4630518100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466510364).

4630518100 is an abundant number, since it is smaller than the sum of its proper divisors (6302502628).

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

4630518100 is a wasteful number, since it uses less digits than its factorization.

4630518100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36845 (or 36838 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 4630518100 is about 68047.9103279447. The cubic root of 4630518100 is about 1666.7732762916.

Adding to 4630518100 its reverse (18150364), we get a palindrome (4648668464).

The spelling of 4630518100 in words is "four billion, six hundred thirty million, five hundred eighteen thousand, one hundred".