4801104100 has 135 divisors (see below), whose sum is σ = 11568561431. Its totient is φ = 1729478400.

The previous prime is 4801104073. The next prime is 4801104107. The reversal of 4801104100 is 14011084.

The square root of 4801104100 is 69290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 33477796 + 4767626304 = 5786^2 + 69048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4801104107) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 117100080 + ... + 117100120.

Almost surely, 2^4801104100 is an apocalyptic number.

4801104100 is the 69290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4801104100

4801104100 is an abundant number, since it is smaller than the sum of its proper divisors (6767457331).

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

4801104100 is an equidigital number, since it uses as much as digits as its factorization.

4801104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The cubic root of 4801104100 is about 1686.9946587443.

Adding to 4801104100 its reverse (14011084), we get a palindrome (4815115184).

The spelling of 4801104100 in words is "four billion, eight hundred one million, one hundred four thousand, one hundred".