1034010000 has 150 divisors (see below), whose sum is σ = 3616397070. Its totient is φ = 275712000.

The previous prime is 1034009981. The next prime is 1034010013. The reversal of 1034010000 is 104301.

It can be written as a sum of positive squares in 5 ways, for example, as 555450624 + 478559376 = 23568^2 + 21876^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 84256 + ... + 95744.

Almost surely, 2^1034010000 is an apocalyptic number.

1034010000 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 1034010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808198535).

1034010000 is an abundant number, since it is smaller than the sum of its proper divisors (2582387070).

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

1034010000 is a wasteful number, since it uses less digits than its factorization.

1034010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1034010000 is about 32156.0258738545. The cubic root of 1034010000 is about 1011.2105212496.

Adding to 1034010000 its reverse (104301), we get a palindrome (1034114301).

The spelling of 1034010000 in words is "one billion, thirty-four million, ten thousand".