45054100 has 72 divisors (see below), whose sum is σ = 120353408. Its totient is φ = 14256000.

The previous prime is 45054089. The next prime is 45054101. The reversal of 45054100 is 145054.

It is a super-3 number, since 3×45054100³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45054101) 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, 6625 + ... + 11575.

Almost surely, 2^45054100 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 45054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60176704).

45054100 is an abundant number, since it is smaller than the sum of its proper divisors (75299308).

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

45054100 is a wasteful number, since it uses less digits than its factorization.

45054100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 45054100 is about 6712.2350971938. The cubic root of 45054100 is about 355.8318125716.

Adding to 45054100 its reverse (145054), we get a palindrome (45199154).

It can be divided in two parts, 45054 and 100, that added together give a palindrome (45154).

The spelling of 45054100 in words is "forty-five million, fifty-four thousand, one hundred".