45145100 has 216 divisors, whose sum is σ = 135762144. Its totient is φ = 12672000.

The previous prime is 45145099. The next prime is 45145109. The reversal of 45145100 is 154154.

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

It is not an unprimeable number, because it can be changed into a prime (45145109) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1101080 + ... + 1101120.

Almost surely, 2^45145100 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 45145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67881072).

45145100 is an abundant number, since it is smaller than the sum of its proper divisors (90617044).

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

45145100 is a wasteful number, since it uses less digits than its factorization.

45145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 45145100 is about 6719.0103437932. The cubic root of 45145100 is about 356.0712204435.

Adding to 45145100 its reverse (154154), we get a palindrome (45299254).

It can be divided in two parts, 451 and 45100, that multiplied together give a square (20340100 = 4510²).

The spelling of 45145100 in words is "forty-five million, one hundred forty-five thousand, one hundred".