10103423127264 has 144 divisors (see below), whose sum is σ = 29294130705840. Its totient is φ = 3302508257280.

The previous prime is 10103423127253. The next prime is 10103423127283. The reversal of 10103423127264 is 46272132430101.

10103423127264 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 342 + 31 + 27 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 1386019 + ... + 4704029.

It is an arithmetic number, because the mean of its divisors is an integer number (203431463235).

Almost surely, 2^{10103423127264} 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 10103423127264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14647065352920).

10103423127264 is an abundant number, since it is smaller than the sum of its proper divisors (19190707578576).

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

10103423127264 is a wasteful number, since it uses less digits than its factorization.

10103423127264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318233 (or 3318222 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 10103423127264 its reverse (46272132430101), we get a palindrome (56375555557365).

The spelling of 10103423127264 in words is "ten trillion, one hundred three billion, four hundred twenty-three million, one hundred twenty-seven thousand, two hundred sixty-four".