101324208384 has 432 divisors, whose sum is σ = 357114925440. Its totient is φ = 26969702400.

The previous prime is 101324208383. The next prime is 101324208397. The reversal of 101324208384 is 483802423101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101324208383) 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 47 ways as a sum of consecutive naturals, for example, 27689947 + ... + 27693605.

It is an arithmetic number, because the mean of its divisors is an integer number (826654920).

Almost surely, 2^101324208384 is an apocalyptic number.

101324208384 is a gapful number since it is divisible by the number (14) 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 101324208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178557462720).

101324208384 is an abundant number, since it is smaller than the sum of its proper divisors (255790717056).

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

101324208384 is a wasteful number, since it uses less digits than its factorization.

101324208384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 101324208384 in words is "one hundred one billion, three hundred twenty-four million, two hundred eight thousand, three hundred eighty-four".