1068200100 has 324 divisors, whose sum is σ = 3903507972. Its totient is φ = 243302400.

The previous prime is 1068200087. The next prime is 1068200129. The reversal of 1068200100 is 10028601.

It can be written as a sum of positive squares in 6 ways, for example, as 130370724 + 937829376 = 11418^2 + 30624^2 .

It is a super-2 number, since 2×1068200100² = 2282102907280020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 1851012 + ... + 1851588.

Almost surely, 2^1068200100 is an apocalyptic number.

1068200100 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 1068200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951753986).

1068200100 is an abundant number, since it is smaller than the sum of its proper divisors (2835307872).

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

1068200100 is a wasteful number, since it uses less digits than its factorization.

1068200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1068200100 is about 32683.3306136324. The cubic root of 1068200100 is about 1022.2352939325.

Adding to 1068200100 its reverse (10028601), we get a palindrome (1078228701).

The spelling of 1068200100 in words is "one billion, sixty-eight million, two hundred thousand, one hundred".