45543828100 has 27 divisors (see below), whose sum is σ = 98834738191. Its totient is φ = 18216677600.

The previous prime is 45543828017. The next prime is 45543828103. The reversal of 45543828100 is 182834554.

The square root of 45543828100 is 213410.

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

45543828100 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 4 ways, for example, as 13471316356 + 32072511744 = 116066^2 + 179088^2 .

It is a super-2 number, since 2×45543828100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45543828103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2123430 + ... + 2144770.

Almost surely, 2^45543828100 is an apocalyptic number.

45543828100 is the 213410-th square number.

It is an amenable number.

45543828100 is an abundant number, since it is smaller than the sum of its proper divisors (53290910091).

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

45543828100 is an frugal number, since it uses more digits than its factorization.

45543828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42696 (or 21348 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 45543828100 in words is "forty-five billion, five hundred forty-three million, eight hundred twenty-eight thousand, one hundred".