45102200 has 192 divisors, whose sum is σ = 131241600. Its totient is φ = 14169600.

The previous prime is 45102199. The next prime is 45102209. The reversal of 45102200 is 220154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45102209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 543359 + ... + 543441.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 2^45102200 is an apocalyptic number.

45102200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

45102200 is an abundant number, since it is smaller than the sum of its proper divisors (86139400).

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

45102200 is a wasteful number, since it uses less digits than its factorization.

45102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 45102200 is about 6715.8171505782. The cubic root of 45102200 is about 355.9583968553.

Adding to 45102200 its reverse (220154), we get a palindrome (45322354).

The spelling of 45102200 in words is "forty-five million, one hundred two thousand, two hundred".