10242310134300 has 144 divisors (see below), whose sum is σ = 30359813535072. Its totient is φ = 2664437350400.

The previous prime is 10242310134281. The next prime is 10242310134323. The reversal of 10242310134300 is 343101324201.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180252694 + ... + 180309506.

It is an arithmetic number, because the mean of its divisors is an integer number (210832038438).

Almost surely, 2^{10242310134300} is an apocalyptic number.

10242310134300 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 10242310134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15179906767536).

10242310134300 is an abundant number, since it is smaller than the sum of its proper divisors (20117503400772).

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

10242310134300 is a wasteful number, since it uses less digits than its factorization.

10242310134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71528 (or 71521 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10242310134300 its reverse (343101324201), we get a palindrome (10585411458501).

The spelling of 10242310134300 in words is "ten trillion, two hundred forty-two billion, three hundred ten million, one hundred thirty-four thousand, three hundred".