1005145220 has 96 divisors (see below), whose sum is σ = 2315174400. Its totient is φ = 365105664.

The previous prime is 1005145187. The next prime is 1005145223. The reversal of 1005145220 is 225415001.

1005145220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1005145192 and 1005145201.

It is not an unprimeable number, because it can be changed into a prime (1005145223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2170709 + ... + 2171171.

It is an arithmetic number, because the mean of its divisors is an integer number (24116400).

Almost surely, 2^1005145220 is an apocalyptic number.

1005145220 is a gapful number since it is divisible by the number (10) 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 1005145220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157587200).

1005145220 is an abundant number, since it is smaller than the sum of its proper divisors (1310029180).

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

1005145220 is a wasteful number, since it uses less digits than its factorization.

1005145220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

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

The square root of 1005145220 is about 31704.0252964825. The cubic root of 1005145220 is about 1001.7121402361.

The spelling of 1005145220 in words is "one billion, five million, one hundred forty-five thousand, two hundred twenty".