1005102280 has 128 divisors (see below), whose sum is σ = 2930054400. Its totient is φ = 301335552.

The previous prime is 1005102269. The next prime is 1005102283. The reversal of 1005102280 is 822015001.

1005102280 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 2×1005102280² = 2020461186522396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1005102283) 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, 61894 + ... + 76426.

It is an arithmetic number, because the mean of its divisors is an integer number (22891050).

Almost surely, 2^1005102280 is an apocalyptic number.

1005102280 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 1005102280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465027200).

1005102280 is an abundant number, since it is smaller than the sum of its proper divisors (1924952120).

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

1005102280 is a wasteful number, since it uses less digits than its factorization.

1005102280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14583 (or 14579 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1005102280 is about 31703.3480881752. The cubic root of 1005102280 is about 1001.6978755870.

Adding to 1005102280 its reverse (822015001), we get a palindrome (1827117281).

It can be divided in two parts, 1005 and 102280, that added together give a triangular number (103285 = T₄₅₄).

The spelling of 1005102280 in words is "one billion, five million, one hundred two thousand, two hundred eighty".