45332100 has 216 divisors, whose sum is σ = 163843680. Its totient is φ = 10368000.

The previous prime is 45332087. The next prime is 45332107. The reversal of 45332100 is 123354.

45332100 is a `hidden beast` number, since 453 + 3 + 210 + 0 = 666.

45332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45332107) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 187980 + ... + 188220.

Almost surely, 2^45332100 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 45332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81921840).

45332100 is an abundant number, since it is smaller than the sum of its proper divisors (118511580).

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

45332100 is a wasteful number, since it uses less digits than its factorization.

45332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45332100 is about 6732.9117029707. The cubic root of 45332100 is about 356.5621824944.

Adding to 45332100 its reverse (123354), we get a palindrome (45455454).

The spelling of 45332100 in words is "forty-five million, three hundred thirty-two thousand, one hundred".