4972598100 has 180 divisors, whose sum is σ = 16675820700. Its totient is φ = 1280240640.

The previous prime is 4972598087. The next prime is 4972598119. The reversal of 4972598100 is 18952794.

4972598100 is a `hidden beast` number, since 49 + 7 + 2 + 598 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 160123716 + 4812474384 = 12654^2 + 69372^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×4972598100² = 49453463728247220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 224316 + ... + 245484.

Almost surely, 2^4972598100 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 4972598100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337910350).

4972598100 is an abundant number, since it is smaller than the sum of its proper divisors (11703222600).

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

4972598100 is a wasteful number, since it uses less digits than its factorization.

4972598100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21224 (or 21208 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 4972598100 is about 70516.6512250830. The cubic root of 4972598100 is about 1706.8464500921.

The spelling of 4972598100 in words is "four billion, nine hundred seventy-two million, five hundred ninety-eight thousand, one hundred".