100009448 has 64 divisors (see below), whose sum is σ = 235353600. Its totient is φ = 38704320.

The previous prime is 100009433. The next prime is 100009477. The reversal of 100009448 is 844900001.

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, 109811 + ... + 110717.

It is an arithmetic number, because the mean of its divisors is an integer number (3677400).

Almost surely, 2^100009448 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 100009448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117676800).

100009448 is an abundant number, since it is smaller than the sum of its proper divisors (135344152).

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

100009448 is a wasteful number, since it uses less digits than its factorization.

100009448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 100009448 is about 10000.4723888424. The cubic root of 100009448 is about 464.1735008114.

Adding to 100009448 its reverse (844900001), we get a palindrome (944909449).

The spelling of 100009448 in words is "one hundred million, nine thousand, four hundred forty-eight".