101324448 has 72 divisors (see below), whose sum is σ = 295203636. Its totient is φ = 32947200.

The previous prime is 101324413. The next prime is 101324449. The reversal of 101324448 is 844423101.

It can be written as a sum of positive squares in 2 ways, for example, as 62536464 + 38787984 = 7908^2 + 6228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (101324449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7518 + ... + 16098.

Almost surely, 2^101324448 is an apocalyptic number.

101324448 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 101324448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147601818).

101324448 is an abundant number, since it is smaller than the sum of its proper divisors (193879188).

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

101324448 is a wasteful number, since it uses less digits than its factorization.

101324448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8638 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 101324448 is about 10066.0045698380. The cubic root of 101324448 is about 466.1990835826.

Adding to 101324448 its reverse (844423101), we get a palindrome (945747549).

The spelling of 101324448 in words is "one hundred one million, three hundred twenty-four thousand, four hundred forty-eight".