100668048 has 80 divisors (see below), whose sum is σ = 289773120. Its totient is φ = 29901312.

The previous prime is 100667993. The next prime is 100668059. The reversal of 100668048 is 840866001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15315 + ... + 20877.

It is an arithmetic number, because the mean of its divisors is an integer number (3622164).

Almost surely, 2^100668048 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 100668048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144886560).

100668048 is an abundant number, since it is smaller than the sum of its proper divisors (189105072).

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

100668048 is a wasteful number, since it uses less digits than its factorization.

100668048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 100668048 is about 10033.3467995480. The cubic root of 100668048 is about 465.1901915936.

The spelling of 100668048 in words is "one hundred million, six hundred sixty-eight thousand, forty-eight".