1000099400 has 48 divisors (see below), whose sum is σ = 2369128500. Its totient is φ = 392487680.

The previous prime is 1000099379. The next prime is 1000099403. The reversal of 1000099400 is 49900001.

1000099400 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 808719844 + 191379556 = 28438^2 + 13834^2 .

It is not an unprimeable number, because it can be changed into a prime (1000099403) 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, 36575 + ... + 57774.

Almost surely, 2^1000099400 is an apocalyptic number.

1000099400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000099400 is an abundant number, since it is smaller than the sum of its proper divisors (1369029100).

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

1000099400 is a wasteful number, since it uses less digits than its factorization.

1000099400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94418 (or 94409 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1000099400 is about 31624.3482146273. The cubic root of 1000099400 is about 1000.0331322356.

Adding to 1000099400 its reverse (49900001), we get a palindrome (1049999401).

The spelling of 1000099400 in words is "one billion, ninety-nine thousand, four hundred".