1068398100 has 432 divisors, whose sum is σ = 4337389056. Its totient is φ = 221616000.

The previous prime is 1068398083. The next prime is 1068398117. The reversal of 1068398100 is 18938601.

It is an interprime number because it is at equal distance from previous prime (1068398083) and next prime (1068398117).

It is a super-3 number, since 3×1068398100³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1870815 + ... + 1871385.

Almost surely, 2^1068398100 is an apocalyptic number.

1068398100 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 1068398100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168694528).

1068398100 is an abundant number, since it is smaller than the sum of its proper divisors (3268990956).

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

1068398100 is a wasteful number, since it uses less digits than its factorization.

1068398100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1068398100 is about 32686.3595403343. The cubic root of 1068398100 is about 1022.2984500408.

The spelling of 1068398100 in words is "one billion, sixty-eight million, three hundred ninety-eight thousand, one hundred".