100478448 has 160 divisors (see below), whose sum is σ = 333312000. Its totient is φ = 28387584.

The previous prime is 100478447. The next prime is 100478461. The reversal of 100478448 is 844874001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100478447) 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 31 ways as a sum of consecutive naturals, for example, 450465 + ... + 450687.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 2^100478448 is an apocalyptic number.

100478448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100478448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656000).

100478448 is an abundant number, since it is smaller than the sum of its proper divisors (232833552).

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

100478448 is a wasteful number, since it uses less digits than its factorization.

100478448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 100478448 is about 10023.8938541866. The cubic root of 100478448 is about 464.8979588789.

The spelling of 100478448 in words is "one hundred million, four hundred seventy-eight thousand, four hundred forty-eight".