4538900100 has 144 divisors (see below), whose sum is σ = 15031482368. Its totient is φ = 1035884160.

The previous prime is 4538900083. The next prime is 4538900129. The reversal of 4538900100 is 10098354.

It is a super-2 number, since 2×4538900100² = 41203228235560020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1903509 + ... + 1905891.

Almost surely, 2^4538900100 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 4538900100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515741184).

4538900100 is an abundant number, since it is smaller than the sum of its proper divisors (10492582268).

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

4538900100 is a wasteful number, since it uses less digits than its factorization.

4538900100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 4538900100 is about 67371.3596419131. The cubic root of 4538900100 is about 1655.7072153271.

Adding to 4538900100 its reverse (10098354), we get a palindrome (4548998454).

The spelling of 4538900100 in words is "four billion, five hundred thirty-eight million, nine hundred thousand, one hundred".