103876313853312 has 3072 divisors, whose sum is σ = 441807590246400. Its totient is φ = 23298637824000.

The previous prime is 103876313853271. The next prime is 103876313853317. The reversal of 103876313853312 is 213358313678301.

103876313853312 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 7 + 6 + 313 + 8 + 5 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103876313853317) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136499755012 + ... + 136499755772.

It is an arithmetic number, because the mean of its divisors is an integer number (143817574950).

Almost surely, 2^{103876313853312} is an apocalyptic number.

103876313853312 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 103876313853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220903795123200).

103876313853312 is an abundant number, since it is smaller than the sum of its proper divisors (337931276393088).

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

103876313853312 is a wasteful number, since it uses less digits than its factorization.

103876313853312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 103876313853312 in words is "one hundred three trillion, eight hundred seventy-six billion, three hundred thirteen million, eight hundred fifty-three thousand, three hundred twelve".