100688448 has 112 divisors (see below), whose sum is σ = 320568320. Its totient is φ = 27247104.

The previous prime is 100688443. The next prime is 100688449. The reversal of 100688448 is 844886001.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (100688443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23565 + ... + 27507.

Almost surely, 2^100688448 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 100688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160284160).

100688448 is an abundant number, since it is smaller than the sum of its proper divisors (219879872).

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

100688448 is a wasteful number, since it uses less digits than its factorization.

100688448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 100688448 is about 10034.3633579814. The cubic root of 100688448 is about 465.2216124835.

The spelling of 100688448 in words is "one hundred million, six hundred eighty-eight thousand, four hundred forty-eight".