45203100 has 72 divisors (see below), whose sum is σ = 132335280. Its totient is φ = 11911680.

The previous prime is 45203087. The next prime is 45203107. The reversal of 45203100 is 130254.

It is a super-2 number, since 2×45203100² = 4086640499220000, which contains 22 as substring.

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 45203100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45203107) 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, 25854 + ... + 27546.

It is an arithmetic number, because the mean of its divisors is an integer number (1837990).

Almost surely, 2^45203100 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 45203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66167640).

45203100 is an abundant number, since it is smaller than the sum of its proper divisors (87132180).

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

45203100 is a wasteful number, since it uses less digits than its factorization.

45203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 45203100 is about 6723.3250702312. The cubic root of 45203100 is about 356.2236422481.

Adding to 45203100 its reverse (130254), we get a palindrome (45333354).

The spelling of 45203100 in words is "forty-five million, two hundred three thousand, one hundred".