10103744697984 has 448 divisors, whose sum is σ = 36305638872000. Its totient is φ = 2734844829696.

The previous prime is 10103744697983. The next prime is 10103744698031. The reversal of 10103744697984 is 48979644730101.

10103744697984 is a `hidden beast` number, since 1 + 0 + 10 + 3 + 7 + 446 + 97 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10103744697983) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 12003432 + ... + 12817560.

Almost surely, 2^{10103744697984} is an apocalyptic number.

10103744697984 is a gapful number since it is divisible by the number (14) 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 10103744697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18152819436000).

10103744697984 is an abundant number, since it is smaller than the sum of its proper divisors (26201894174016).

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

10103744697984 is an frugal number, since it uses more digits than its factorization.

10103744697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814187 (or 814160 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 10103744697984 in words is "ten trillion, one hundred three billion, seven hundred forty-four million, six hundred ninety-seven thousand, nine hundred eighty-four".