1036900000 has 72 divisors (see below), whose sum is σ = 2551828860. Its totient is φ = 414720000.

The previous prime is 1036899991. The next prime is 1036900013. The reversal of 1036900000 is 96301.

It can be written as a sum of positive squares in 6 ways, for example, as 359026704 + 677873296 = 18948^2 + 26036^2 .

It is a super-2 number, since 2×1036900000² = 2150323220000000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94816 + ... + 105184.

Almost surely, 2^1036900000 is an apocalyptic number.

1036900000 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 1036900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275914430).

1036900000 is an abundant number, since it is smaller than the sum of its proper divisors (1514928860).

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

1036900000 is an frugal number, since it uses more digits than its factorization.

1036900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 1036900000 is about 32200.9316635404. The cubic root of 1036900000 is about 1012.1517371565.

Adding to 1036900000 its reverse (96301), we get a palindrome (1036996301).

The spelling of 1036900000 in words is "one billion, thirty-six million, nine hundred thousand".