100059568 has 120 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 39473280.

The previous prime is 100059559. The next prime is 100059587. The reversal of 100059568 is 865950001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558903 + ... + 559081.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 2^100059568 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 100059568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

100059568 is an abundant number, since it is smaller than the sum of its proper divisors (144210512).

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

100059568 is a wasteful number, since it uses less digits than its factorization.

100059568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 100059568 is about 10002.9779565887. The cubic root of 100059568 is about 464.2510284552.

The spelling of 100059568 in words is "one hundred million, fifty-nine thousand, five hundred sixty-eight".