45541100 has 72 divisors (see below), whose sum is σ = 113534400. Its totient is φ = 15681600.

The previous prime is 45541091. The next prime is 45541103. The reversal of 45541100 is 114554.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45541103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19811 + ... + 21989.

Almost surely, 2^45541100 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 45541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56767200).

45541100 is an abundant number, since it is smaller than the sum of its proper divisors (67993300).

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

45541100 is a wasteful number, since it uses less digits than its factorization.

45541100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 45541100 is about 6748.4146286369. The cubic root of 45541100 is about 357.1093096108.

Adding to 45541100 its reverse (114554), we get a palindrome (45655654).

It can be divided in two parts, 45 and 541100, that added together give a palindrome (541145).

The spelling of 45541100 in words is "forty-five million, five hundred forty-one thousand, one hundred".