103814701056 has 504 divisors, whose sum is σ = 342633799872. Its totient is φ = 31386009600.

The previous prime is 103814701031. The next prime is 103814701087. The reversal of 103814701056 is 650107418301.

103814701056 is a `hidden beast` number, since 1 + 0 + 3 + 81 + 470 + 105 + 6 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 103814701056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240869161 + ... + 240869591.

It is an arithmetic number, because the mean of its divisors is an integer number (679828968).

Almost surely, 2^103814701056 is an apocalyptic number.

103814701056 is a gapful number since it is divisible by the number (16) 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 103814701056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171316899936).

103814701056 is an abundant number, since it is smaller than the sum of its proper divisors (238819098816).

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

103814701056 is an frugal number, since it uses more digits than its factorization.

103814701056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 103814701056 in words is "one hundred three billion, eight hundred fourteen million, seven hundred one thousand, fifty-six".