1005041070 has 96 divisors (see below), whose sum is σ = 2868203520. Its totient is φ = 242147520.

The previous prime is 1005041069. The next prime is 1005041099. The reversal of 1005041070 is 701405001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 162291 + ... + 168369.

It is an arithmetic number, because the mean of its divisors is an integer number (29877120).

Almost surely, 2^1005041070 is an apocalyptic number.

1005041070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005041070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434101760).

1005041070 is an abundant number, since it is smaller than the sum of its proper divisors (1863162450).

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

1005041070 is a wasteful number, since it uses less digits than its factorization.

1005041070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1005041070 is about 31702.3827180229. The cubic root of 1005041070 is about 1001.6775409494.

Adding to 1005041070 its reverse (701405001), we get a palindrome (1706446071).

The spelling of 1005041070 in words is "one billion, five million, forty-one thousand, seventy".