45530100 has 360 divisors, whose sum is σ = 186529728. Its totient is φ = 9331200.

The previous prime is 45530083. The next prime is 45530113. The reversal of 45530100 is 103554.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 623664 + ... + 623736.

Almost surely, 2^45530100 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 45530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93264864).

45530100 is an abundant number, since it is smaller than the sum of its proper divisors (140999628).

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

45530100 is a wasteful number, since it uses less digits than its factorization.

45530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 45530100 is about 6747.5995731816. The cubic root of 45530100 is about 357.0805552276.

Adding to 45530100 its reverse (103554), we get a palindrome (45633654).

The spelling of 45530100 in words is "forty-five million, five hundred thirty thousand, one hundred".