103776 has 48 divisors (see below), whose sum is σ = 290304. Its totient is φ = 32384.

The previous prime is 103769. The next prime is 103787. The reversal of 103776 is 677301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

103776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2185 + ... + 2231.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2¹⁰³⁷⁷⁶ is an apocalyptic number.

103776 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 103776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

103776 is an abundant number, since it is smaller than the sum of its proper divisors (186528).

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

103776 is a wasteful number, since it uses less digits than its factorization.

103776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 103776 is about 322.1428254672. The cubic root of 103776 is about 46.9929067310.

The spelling of 103776 in words is "one hundred three thousand, seven hundred seventy-six".