100252568 has 32 divisors (see below), whose sum is σ = 205299360. Its totient is φ = 45615360.

The previous prime is 100252567. The next prime is 100252571. The reversal of 100252568 is 865252001.

It is a self number, because there is not a number n which added to its sum of digits gives 100252568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100252567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 596 + ... + 14172.

It is an arithmetic number, because the mean of its divisors is an integer number (6415605).

Almost surely, 2^100252568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100252568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102649680).

100252568 is an abundant number, since it is smaller than the sum of its proper divisors (105046792).

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

100252568 is a wasteful number, since it uses less digits than its factorization.

100252568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13667 (or 13663 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 100252568 is about 10012.6204362295. The cubic root of 100252568 is about 464.5493271031.

The spelling of 100252568 in words is "one hundred million, two hundred fifty-two thousand, five hundred sixty-eight".