103947826752 has 336 divisors, whose sum is σ = 371976164352. Its totient is φ = 26962467840.

The previous prime is 103947826699. The next prime is 103947826777. The reversal of 103947826752 is 257628749301.

It is a happy number.

103947826752 is a `hidden beast` number, since 103 + 9 + 478 + 2 + 67 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 49806253 + ... + 49808339.

It is a 1-persistent number, because it is pandigital, but 2⋅103947826752 = 207895653504 is not.

Almost surely, 2^103947826752 is an apocalyptic number.

103947826752 is a gapful number since it is divisible by the number (12) 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 103947826752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988082176).

103947826752 is an abundant number, since it is smaller than the sum of its proper divisors (268028337600).

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

103947826752 is a wasteful number, since it uses less digits than its factorization.

103947826752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 103947826752 in words is "one hundred three billion, nine hundred forty-seven million, eight hundred twenty-six thousand, seven hundred fifty-two".