100768 has 24 divisors (see below), whose sum is σ = 205632. Its totient is φ = 48576.

The previous prime is 100747. The next prime is 100769. The reversal of 100768 is 867001.

It is not an unprimeable number, because it can be changed into a prime (100769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1471 + ... + 1537.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2¹⁰⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816).

100768 is an abundant number, since it is smaller than the sum of its proper divisors (104864).

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

100768 is an equidigital number, since it uses as much as digits as its factorization.

100768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 100768 is about 317.4397580644. The cubic root of 100768 is about 46.5344101104.

Adding to 100768 its reverse (867001), we get a palindrome (967769).

It can be divided in two parts, 10076 and 8, that multiplied together give a palindrome (80608).

The spelling of 100768 in words is "one hundred thousand, seven hundred sixty-eight".