45100800 has 324 divisors, whose sum is σ = 172983720. Its totient is φ = 11612160.

The previous prime is 45100799. The next prime is 45100801. The reversal of 45100800 is 800154.

It is an interprime number because it is at equal distance from previous prime (45100799) and next prime (45100801).

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45100801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1555186 + ... + 1555214.

Almost surely, 2^45100800 is an apocalyptic number.

45100800 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 45100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86491860).

45100800 is an abundant number, since it is smaller than the sum of its proper divisors (127882920).

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

45100800 is an equidigital number, since it uses as much as digits as its factorization.

45100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 45100800 is about 6715.7129182239. The cubic root of 45100800 is about 355.9547137614.

Adding to 45100800 its reverse (800154), we get a palindrome (45900954).

The spelling of 45100800 in words is "forty-five million, one hundred thousand, eight hundred".