45100011300 has 144 divisors (see below), whose sum is σ = 132274658880. Its totient is φ = 11862794240.

The previous prime is 45100011227. The next prime is 45100011343. The reversal of 45100011300 is 311000154.

It is a super-2 number, since 2×45100011300² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 45100011300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12467092 + ... + 12470708.

It is an arithmetic number, because the mean of its divisors is an integer number (918574020).

Almost surely, 2^45100011300 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 45100011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66137329440).

45100011300 is an abundant number, since it is smaller than the sum of its proper divisors (87174647580).

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

45100011300 is a wasteful number, since it uses less digits than its factorization.

45100011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 45100011300 its reverse (311000154), we get a palindrome (45411011454).

The spelling of 45100011300 in words is "forty-five billion, one hundred million, eleven thousand, three hundred".