45532100 has 18 divisors (see below), whose sum is σ = 98804874. Its totient is φ = 18212800.

The previous prime is 45532093. The next prime is 45532121. The reversal of 45532100 is 123554.

45532100 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 3 ways, for example, as 158404 + 45373696 = 398^2 + 6736^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 227561 + ... + 227760.

Almost surely, 2^45532100 is an apocalyptic number.

It is an amenable number.

45532100 is an abundant number, since it is smaller than the sum of its proper divisors (53272774).

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

45532100 is a wasteful number, since it uses less digits than its factorization.

45532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455335 (or 455328 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 45532100 is about 6747.7477724052. The cubic root of 45532100 is about 357.0857836417.

Adding to 45532100 its reverse (123554), we get a palindrome (45655654).

The spelling of 45532100 in words is "forty-five million, five hundred thirty-two thousand, one hundred".