10243106126144 has 112 divisors (see below), whose sum is σ = 20989499263488. Its totient is φ = 4955968862208.

The previous prime is 10243106126089. The next prime is 10243106126147. The reversal of 10243106126144 is 44162160134201.

It is a super-2 number, since 2×10243106126144² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243106126147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 577165079 + ... + 577182825.

It is an arithmetic number, because the mean of its divisors is an integer number (187406243424).

Almost surely, 2^{10243106126144} 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 10243106126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494749631744).

10243106126144 is an abundant number, since it is smaller than the sum of its proper divisors (10746393137344).

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

10243106126144 is a wasteful number, since it uses less digits than its factorization.

10243106126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19112 (or 19102 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 10243106126144 in words is "ten trillion, two hundred forty-three billion, one hundred six million, one hundred twenty-six thousand, one hundred forty-four".