101448320 has 64 divisors (see below), whose sum is σ = 243802440. Its totient is φ = 40366080.

The previous prime is 101448311. The next prime is 101448379. The reversal of 101448320 is 23844101.

It can be written as a sum of positive squares in 4 ways, for example, as 95726656 + 5721664 = 9784^2 + 2392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 187250 + ... + 187790.

Almost surely, 2^101448320 is an apocalyptic number.

101448320 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 101448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121901220).

101448320 is an abundant number, since it is smaller than the sum of its proper divisors (142354120).

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

101448320 is an equidigital number, since it uses as much as digits as its factorization.

101448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 101448320 is about 10072.1556779073. The cubic root of 101448320 is about 466.3889867328.

The spelling of 101448320 in words is "one hundred one million, four hundred forty-eight thousand, three hundred twenty".