1034440100 has 36 divisors (see below), whose sum is σ = 2246145300. Its totient is φ = 413516160.

The previous prime is 1034440091. The next prime is 1034440103. The reversal of 1034440100 is 10444301.

1034440100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 40551424 + 993888676 = 6368^2 + 31526^2 .

It is not an unprimeable number, because it can be changed into a prime (1034440103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277046 + ... + 280754.

It is an arithmetic number, because the mean of its divisors is an integer number (62392925).

Almost surely, 2^1034440100 is an apocalyptic number.

1034440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034440100 is an abundant number, since it is smaller than the sum of its proper divisors (1211705200).

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

1034440100 is a wasteful number, since it uses less digits than its factorization.

1034440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1034440100 is about 32162.7128830887. The cubic root of 1034440100 is about 1011.3507073074.

Adding to 1034440100 its reverse (10444301), we get a palindrome (1044884401).

The spelling of 1034440100 in words is "one billion, thirty-four million, four hundred forty thousand, one hundred".