45387100 has 90 divisors (see below), whose sum is σ = 111833120. Its totient is φ = 15972000.

The previous prime is 45387091. The next prime is 45387151. The reversal of 45387100 is 178354.

45387100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 1464085 + ... + 1464115.

Almost surely, 2^45387100 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 45387100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55916560).

45387100 is an abundant number, since it is smaller than the sum of its proper divisors (66446020).

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

45387100 is a wasteful number, since it uses less digits than its factorization.

45387100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 45387100 is about 6736.9948790243. The cubic root of 45387100 is about 356.7063260797.

The spelling of 45387100 in words is "forty-five million, three hundred eighty-seven thousand, one hundred".