45102800 has 30 divisors (see below), whose sum is σ = 108360438. Its totient is φ = 18040960.

The previous prime is 45102791. The next prime is 45102823. The reversal of 45102800 is 820154.

It can be written as a sum of positive squares in 3 ways, for example, as 3474496 + 41628304 = 1864^2 + 6452^2 .

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 55979 + ... + 56778.

Almost surely, 2^45102800 is an apocalyptic number.

45102800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45102800 is an abundant number, since it is smaller than the sum of its proper divisors (63257638).

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

45102800 is a wasteful number, since it uses less digits than its factorization.

45102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112775 (or 112764 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 45102800 is about 6715.8618210919. The cubic root of 45102800 is about 355.9599753008.

Adding to 45102800 its reverse (820154), we get a palindrome (45922954).

The spelling of 45102800 in words is "forty-five million, one hundred two thousand, eight hundred".