45103520 has 144 divisors (see below), whose sum is σ = 135481248. Its totient is φ = 14031360.

The previous prime is 45103501. The next prime is 45103523. The reversal of 45103520 is 2530154.

45103520 = 386² + 387² + ... + 577².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45103492 and 45103501.

It is not an unprimeable number, because it can be changed into a prime (45103523) 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, 85979 + ... + 86501.

It is an arithmetic number, because the mean of its divisors is an integer number (940842).

Almost surely, 2^45103520 is an apocalyptic number.

45103520 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 45103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67740624).

45103520 is an abundant number, since it is smaller than the sum of its proper divisors (90377728).

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

45103520 is a wasteful number, since it uses less digits than its factorization.

45103520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 45103520 is about 6715.9154253162. The cubic root of 45103520 is about 355.9618694169.

Adding to 45103520 its reverse (2530154), we get a palindrome (47633674).

The spelling of 45103520 in words is "forty-five million, one hundred three thousand, five hundred twenty".