101344434400 has 288 divisors, whose sum is σ = 288139057920. Its totient is φ = 34417152000.

The previous prime is 101344434397. The next prime is 101344434413. The reversal of 101344434400 is 4434443101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 11866932 + ... + 11875468.

It is an arithmetic number, because the mean of its divisors is an integer number (1000482840).

Almost surely, 2^101344434400 is an apocalyptic number.

101344434400 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 101344434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144069528960).

101344434400 is an abundant number, since it is smaller than the sum of its proper divisors (186794623520).

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

101344434400 is a wasteful number, since it uses less digits than its factorization.

101344434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8658 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 101344434400 its reverse (4434443101), we get a palindrome (105778877501).

The spelling of 101344434400 in words is "one hundred one billion, three hundred forty-four million, four hundred thirty-four thousand, four hundred".