45440100 has 108 divisors (see below), whose sum is σ = 147425460. Its totient is φ = 11692800.

The previous prime is 45440047. The next prime is 45440119. The reversal of 45440100 is 104454.

45440100 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 6 ways, for example, as 10653696 + 34786404 = 3264^2 + 5898^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 25230 + ... + 26970.

Almost surely, 2^45440100 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 45440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73712730).

45440100 is an abundant number, since it is smaller than the sum of its proper divisors (101985360).

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

45440100 is a wasteful number, since it uses less digits than its factorization.

45440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45440100 is about 6740.9272359224. The cubic root of 45440100 is about 356.8451179481.

Adding to 45440100 its reverse (104454), we get a palindrome (45544554).

The spelling of 45440100 in words is "forty-five million, four hundred forty thousand, one hundred".