45221100 has 72 divisors (see below), whose sum is σ = 131533248. Its totient is φ = 11995200.

The previous prime is 45221093. The next prime is 45221117. The reversal of 45221100 is 112254.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 45221100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91855 + ... + 92345.

Almost surely, 2^45221100 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 45221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65766624).

45221100 is an abundant number, since it is smaller than the sum of its proper divisors (86312148).

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

45221100 is a wasteful number, since it uses less digits than its factorization.

45221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 45221100 is about 6724.6635603575. The cubic root of 45221100 is about 356.2709190548.

45221100 divided by its sum of digits (15) gives a triangular number (3014740 = T₂₄₅₅).

Adding to 45221100 its reverse (112254), we get a palindrome (45333354).

The spelling of 45221100 in words is "forty-five million, two hundred twenty-one thousand, one hundred".