103933768053528 has 384 divisors, whose sum is σ = 329938980134400. Its totient is φ = 28942409852928.

The previous prime is 103933768053517. The next prime is 103933768053611. The reversal of 103933768053528 is 825350867339301.

103933768053528 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 3 + 3 + 76 + 8 + 0 + 535 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11882214451 + ... + 11882223197.

It is an arithmetic number, because the mean of its divisors is an integer number (859216094100).

Almost surely, 2^{103933768053528} is an apocalyptic number.

103933768053528 is a gapful number since it is divisible by the number (18) 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 103933768053528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164969490067200).

103933768053528 is an abundant number, since it is smaller than the sum of its proper divisors (226005212080872).

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

103933768053528 is a wasteful number, since it uses less digits than its factorization.

103933768053528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11711 (or 11704 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 103933768053528 in words is "one hundred three trillion, nine hundred thirty-three billion, seven hundred sixty-eight million, fifty-three thousand, five hundred twenty-eight".