45216100 has 18 divisors (see below), whose sum is σ = 98119154. Its totient is φ = 18086400.

The previous prime is 45216097. The next prime is 45216103. The reversal of 45216100 is 161254.

45216100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45216097) and next prime (45216103).

It can be written as a sum of positive squares in 3 ways, for example, as 272484 + 44943616 = 522^2 + 6704^2 .

It is not an unprimeable number, because it can be changed into a prime (45216103) 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 5 ways as a sum of consecutive naturals, for example, 225981 + ... + 226180.

Almost surely, 2^45216100 is an apocalyptic number.

It is an amenable number.

45216100 is an abundant number, since it is smaller than the sum of its proper divisors (52903054).

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

45216100 is a wasteful number, since it uses less digits than its factorization.

45216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452175 (or 452168 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 45216100 is about 6724.2917842699. The cubic root of 45216100 is about 356.2577878671.

Adding to 45216100 its reverse (161254), we get a palindrome (45377354).

The spelling of 45216100 in words is "forty-five million, two hundred sixteen thousand, one hundred".