101326848 has 224 divisors, whose sum is σ = 335523840. Its totient is φ = 26542080.

The previous prime is 101326843. The next prime is 101326853. The reversal of 101326848 is 848623101.

It is an interprime number because it is at equal distance from previous prime (101326843) and next prime (101326853).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (101326843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3268593 + ... + 3268623.

Almost surely, 2^101326848 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 101326848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167761920).

101326848 is an abundant number, since it is smaller than the sum of its proper divisors (234196992).

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

101326848 is an equidigital number, since it uses as much as digits as its factorization.

101326848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 101326848 is about 10066.1237822709. The cubic root of 101326848 is about 466.2027643954.

Adding to 101326848 its reverse (848623101), we get a palindrome (949949949).

The spelling of 101326848 in words is "one hundred one million, three hundred twenty-six thousand, eight hundred forty-eight".