1005300100 has 144 divisors (see below), whose sum is σ = 2755323648. Its totient is φ = 310210560.

The previous prime is 1005300097. The next prime is 1005300103. The reversal of 1005300100 is 10035001.

It is an interprime number because it is at equal distance from previous prime (1005300097) and next prime (1005300103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1005300103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271864 + ... + 275536.

It is an arithmetic number, because the mean of its divisors is an integer number (19134192).

Almost surely, 2^1005300100 is an apocalyptic number.

1005300100 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 1005300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377661824).

1005300100 is an abundant number, since it is smaller than the sum of its proper divisors (1750023548).

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

1005300100 is a wasteful number, since it uses less digits than its factorization.

1005300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 1005300100 is about 31706.4677944422. The cubic root of 1005300100 is about 1001.7635879292.

Adding to 1005300100 its reverse (10035001), we get a palindrome (1015335101).

The spelling of 1005300100 in words is "one billion, five million, three hundred thousand, one hundred".