45225100 has 72 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 16542720.

The previous prime is 45225097. The next prime is 45225101. The reversal of 45225100 is 152254.

It is not an unprimeable number, because it can be changed into a prime (45225101) 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, 62541 + ... + 63259.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^45225100 is an apocalyptic number.

45225100 is the 3595-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

45225100 is an abundant number, since it is smaller than the sum of its proper divisors (61643060).

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

45225100 is a wasteful number, since it uses less digits than its factorization.

45225100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

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

The square root of 45225100 is about 6724.9609664295. The cubic root of 45225100 is about 356.2814233080.

Adding to 45225100 its reverse (152254), we get a palindrome (45377354).

It can be divided in two parts, 452 and 25100, that added together give a palindrome (25552).

The spelling of 45225100 in words is "forty-five million, two hundred twenty-five thousand, one hundred".