45505100 has 36 divisors (see below), whose sum is σ = 99644664. Its totient is φ = 18036480.

The previous prime is 45505099. The next prime is 45505123. The reversal of 45505100 is 150554.

45505100 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 (20).

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 11 ways as a sum of consecutive naturals, for example, 9287 + ... + 13313.

Almost surely, 2^45505100 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 45505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49822332).

45505100 is an abundant number, since it is smaller than the sum of its proper divisors (54139564).

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

45505100 is a wasteful number, since it uses less digits than its factorization.

45505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 45505100 is about 6745.7468081748. The cubic root of 45505100 is about 357.0151871284.

Adding to 45505100 its reverse (150554), we get a palindrome (45655654).

The spelling of 45505100 in words is "forty-five million, five hundred five thousand, one hundred".