100002568000 has 224 divisors, whose sum is σ = 262961506080. Its totient is φ = 37542297600.

The previous prime is 100002567979. The next prime is 100002568009. The reversal of 100002568000 is 865200001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 10390948096 + 89611619904 = 101936^2 + 299352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002568009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62151196 + ... + 62152804.

It is an arithmetic number, because the mean of its divisors is an integer number (1173935295).

Almost surely, 2^100002568000 is an apocalyptic number.

100002568000 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 100002568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131480753040).

100002568000 is an abundant number, since it is smaller than the sum of its proper divisors (162958938080).

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

100002568000 is a wasteful number, since it uses less digits than its factorization.

100002568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 100002568000 its reverse (865200001), we get a palindrome (100867768001).

The spelling of 100002568000 in words is "one hundred billion, two million, five hundred sixty-eight thousand".