1075010000 has 100 divisors (see below), whose sum is σ = 2620889172. Its totient is φ = 427008000.

The previous prime is 1075009979. The next prime is 1075010003. The reversal of 1075010000 is 105701.

It can be written as a sum of positive squares in 10 ways, for example, as 1058591296 + 16418704 = 32536^2 + 4052^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1929722 + ... + 1930278.

Almost surely, 2^1075010000 is an apocalyptic number.

1075010000 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 1075010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310444586).

1075010000 is an abundant number, since it is smaller than the sum of its proper divisors (1545879172).

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

1075010000 is an equidigital number, since it uses as much as digits as its factorization.

1075010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 1075010000 is about 32787.3451197257. The cubic root of 1075010000 is about 1024.4029836828.

Adding to 1075010000 its reverse (105701), we get a palindrome (1075115701).

The spelling of 1075010000 in words is "one billion, seventy-five million, ten thousand".