100448960 has 56 divisors (see below), whose sum is σ = 241950240. Its totient is φ = 39716864.

The previous prime is 100448951. The next prime is 100448983. The reversal of 100448960 is 69844001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26717 + ... + 30243.

It is an arithmetic number, because the mean of its divisors is an integer number (4320540).

Almost surely, 2^100448960 is an apocalyptic number.

100448960 is a gapful number since it is divisible by the number (10) 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 100448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120975120).

100448960 is an abundant number, since it is smaller than the sum of its proper divisors (141501280).

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

100448960 is an equidigital number, since it uses as much as digits as its factorization.

100448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 100448960 is about 10022.4228607658. The cubic root of 100448960 is about 464.8524756515.

The spelling of 100448960 in words is "one hundred million, four hundred forty-eight thousand, nine hundred sixty".