45125100 has 126 divisors (see below), whose sum is σ = 147052220. Its totient is φ = 12013920.

The previous prime is 45125077. The next prime is 45125107. The reversal of 45125100 is 152154.

45125100 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 not an unprimeable number, because it can be changed into a prime (45125107) 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 41 ways as a sum of consecutive naturals, for example, 72591 + ... + 73209.

Almost surely, 2^45125100 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 45125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73526110).

45125100 is an abundant number, since it is smaller than the sum of its proper divisors (101927120).

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

45125100 is a wasteful number, since it uses less digits than its factorization.

45125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 45125100 is about 6717.5218644974. The cubic root of 45125100 is about 356.0186309317.

Adding to 45125100 its reverse (152154), we get a palindrome (45277254).

The spelling of 45125100 in words is "forty-five million, one hundred twenty-five thousand, one hundred".