45008100 has 108 divisors (see below), whose sum is σ = 144480336. Its totient is φ = 11712960.

The previous prime is 45008099. The next prime is 45008111. The reversal of 45008100 is 180054.

45008100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45008100² = 4051458131220000, which contains 22 as substring.

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

45008100 is a modest number, since divided by 8100 gives 4500 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38119 + ... + 39281.

Almost surely, 2^45008100 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 45008100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72240168).

45008100 is an abundant number, since it is smaller than the sum of its proper divisors (99472236).

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

45008100 is a wasteful number, since it uses less digits than its factorization.

45008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1216 counting only the distinct ones).

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

The square root of 45008100 is about 6708.8076436875. The cubic root of 45008100 is about 355.7106705285.

Adding to 45008100 its reverse (180054), we get a palindrome (45188154).

The spelling of 45008100 in words is "forty-five million, eight thousand, one hundred".