10387342243600 has 135 divisors (see below), whose sum is σ = 29031232814751. Its totient is φ = 3561219782400.

The previous prime is 10387342243583. The next prime is 10387342243637. The reversal of 10387342243600 is 634224378301.

The square root of 10387342243600 is 3222940.

It is a perfect power (a square), and thus also a powerful number.

10387342243600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2947278631696 + 7440063611904 = 1716764^2 + 2727648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 451200090 + ... + 451223110.

Almost surely, 2^{10387342243600} is an apocalyptic number.

10387342243600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10387342243600 is the 3222940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10387342243600

10387342243600 is an abundant number, since it is smaller than the sum of its proper divisors (18643890571151).

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

10387342243600 is an frugal number, since it uses more digits than its factorization.

10387342243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46074 (or 23035 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 10387342243600 in words is "ten trillion, three hundred eighty-seven billion, three hundred forty-two million, two hundred forty-three thousand, six hundred".